64597728 has 96 divisors (see below), whose sum is σ = 184246272. Its totient is φ = 19699200.

The previous prime is 64597723. The next prime is 64597733. The reversal of 64597728 is 82779546.

It is an interprime number because it is at equal distance from previous prime (64597723) and next prime (64597733).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (846720) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64597723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238233 + ... + 238503.

It is an arithmetic number, because the mean of its divisors is an integer number (1919232).

Almost surely, 2^64597728 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 64597728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92123136).

64597728 is an abundant number, since it is smaller than the sum of its proper divisors (119648544).

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

64597728 is a wasteful number, since it uses less digits than its factorization.

64597728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 64597728 is about 8037.2711787024. The cubic root of 64597728 is about 401.2414099344.

The spelling of 64597728 in words is "sixty-four million, five hundred ninety-seven thousand, seven hundred twenty-eight".