464625728 has 56 divisors (see below), whose sum is σ = 1068214272. Its totient is φ = 196383744.

The previous prime is 464625727. The next prime is 464625739. The reversal of 464625728 is 827526464.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (464625727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25601 + ... + 39807.

Almost surely, 2^464625728 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 464625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534107136).

464625728 is an abundant number, since it is smaller than the sum of its proper divisors (603588544).

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

464625728 is a wasteful number, since it uses less digits than its factorization.

464625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14299 (or 14289 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The square root of 464625728 is about 21555.1786816997. The cubic root of 464625728 is about 774.5231769662.

The spelling of 464625728 in words is "four hundred sixty-four million, six hundred twenty-five thousand, seven hundred twenty-eight".