264817728 has 112 divisors (see below), whose sum is σ = 889772160. Its totient is φ = 75658752.

The previous prime is 264817727. The next prime is 264817739. The reversal of 264817728 is 827718462.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264817723) 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, 1150 + ... + 23042.

Almost surely, 2^264817728 is an apocalyptic number.

264817728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444886080).

264817728 is an abundant number, since it is smaller than the sum of its proper divisors (624954432).

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

264817728 is a wasteful number, since it uses less digits than its factorization.

264817728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21921 (or 21905 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 264817728 is about 16273.2211931136. The cubic root of 264817728 is about 642.1685294305.

The spelling of 264817728 in words is "two hundred sixty-four million, eight hundred seventeen thousand, seven hundred twenty-eight".