628153740 has 144 divisors (see below), whose sum is σ = 2038091328. Its totient is φ = 156045312.

The previous prime is 628153697. The next prime is 628153741. The reversal of 628153740 is 47351826.

628153740 is a `hidden beast` number, since 6 + 2 + 81 + 537 + 40 = 666.

628153740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 628153695 and 628153704.

It is not an unprimeable number, because it can be changed into a prime (628153741) 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, 314184 + ... + 316176.

It is an arithmetic number, because the mean of its divisors is an integer number (14153412).

Almost surely, 2^628153740 is an apocalyptic number.

628153740 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 628153740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019045664).

628153740 is an abundant number, since it is smaller than the sum of its proper divisors (1409937588).

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

628153740 is a wasteful number, since it uses less digits than its factorization.

628153740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 628153740 is about 25062.9954315122. The cubic root of 628153740 is about 856.4236464560.

The spelling of 628153740 in words is "six hundred twenty-eight million, one hundred fifty-three thousand, seven hundred forty".