264736728 has 128 divisors (see below), whose sum is σ = 780192000. Its totient is φ = 82944000.

The previous prime is 264736723. The next prime is 264736741. The reversal of 264736728 is 827637462.

264736728 is a `hidden beast` number, since 264 + 7 + 367 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264736723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029976 + ... + 1030232.

It is an arithmetic number, because the mean of its divisors is an integer number (6095250).

Almost surely, 2^264736728 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 264736728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096000).

264736728 is an abundant number, since it is smaller than the sum of its proper divisors (515455272).

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

264736728 is a wasteful number, since it uses less digits than its factorization.

264736728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 264736728 is about 16270.7322514999. The cubic root of 264736728 is about 642.1030492283.

The spelling of 264736728 in words is "two hundred sixty-four million, seven hundred thirty-six thousand, seven hundred twenty-eight".