64792728 has 384 divisors, whose sum is σ = 251596800. Its totient is φ = 14515200.

The previous prime is 64792727. The next prime is 64792747. The reversal of 64792728 is 82729746.

64792728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (338688) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64792723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2090073 + ... + 2090103.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^64792728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64792728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

64792728 is an abundant number, since it is smaller than the sum of its proper divisors (186804072).

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

64792728 is a wasteful number, since it uses less digits than its factorization.

64792728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 64792728 is about 8049.3930205948. The cubic root of 64792728 is about 401.6447444366.

The spelling of 64792728 in words is "sixty-four million, seven hundred ninety-two thousand, seven hundred twenty-eight".