64428000 has 384 divisors, whose sum is σ = 264176640. Its totient is φ = 13363200.

The previous prime is 64427999. The next prime is 64428043. The reversal of 64428000 is 82446.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091971 + ... + 1092029.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^64428000 is an apocalyptic number.

64428000 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 64428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

64428000 is an abundant number, since it is smaller than the sum of its proper divisors (199748640).

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

64428000 is a wasteful number, since it uses less digits than its factorization.

64428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64428000 is about 8026.7054262630. The cubic root of 64428000 is about 400.8896863451.

The spelling of 64428000 in words is "sixty-four million, four hundred twenty-eight thousand".