264728628 has 48 divisors (see below), whose sum is σ = 700949760. Its totient is φ = 86363712.

The previous prime is 264728621. The next prime is 264728669. The reversal of 264728628 is 826827462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264728621) 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, 21001 + ... + 31152.

It is an arithmetic number, because the mean of its divisors is an integer number (14603120).

Almost surely, 2^264728628 is an apocalyptic number.

It is an amenable number.

264728628 is an abundant number, since it is smaller than the sum of its proper divisors (436221132).

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

264728628 is a wasteful number, since it uses less digits than its factorization.

264728628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52213 (or 52205 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 264728628 is about 16270.4833363978. The cubic root of 264728628 is about 642.0965004735.

It can be divided in two parts, 264728 and 628, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 264728628 in words is "two hundred sixty-four million, seven hundred twenty-eight thousand, six hundred twenty-eight".