628970400 has 288 divisors, whose sum is σ = 2339225280. Its totient is φ = 162984960.

The previous prime is 628970399. The next prime is 628970401. The reversal of 628970400 is 4079826.

628970400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (628970399) and next prime (628970401).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (628970401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798807 + ... + 799593.

It is an arithmetic number, because the mean of its divisors is an integer number (8122310).

Almost surely, 2^628970400 is an apocalyptic number.

628970400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169612640).

628970400 is an abundant number, since it is smaller than the sum of its proper divisors (1710254880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628970400 is a wasteful number, since it uses less digits than its factorization.

628970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 628970400 is about 25079.2822863813. The cubic root of 628970400 is about 856.7946299752.

The spelling of 628970400 in words is "six hundred twenty-eight million, nine hundred seventy thousand, four hundred".