523225728 has 96 divisors (see below), whose sum is σ = 1594263060. Its totient is φ = 164143104.

The previous prime is 523225727. The next prime is 523225741. The reversal of 523225728 is 827522325.

It is a happy number.

523225728 is a `hidden beast` number, since 52 + 32 + 2 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 523128384 + 97344 = 22872^2 + 312^2 .

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

It is a super-2 number, since 2×523225728² = 547530324882259968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 523225692 and 523225701.

It is not an unprimeable number, because it can be changed into a prime (523225727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6226 + ... + 32942.

Almost surely, 2^523225728 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 523225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797131530).

523225728 is an abundant number, since it is smaller than the sum of its proper divisors (1071037332).

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

523225728 is a wasteful number, since it uses less digits than its factorization.

523225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754 (or 26739 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 523225728 is about 22874.1279178027. The cubic root of 523225728 is about 805.8045159679.

The spelling of 523225728 in words is "five hundred twenty-three million, two hundred twenty-five thousand, seven hundred twenty-eight".