252825328 has 40 divisors (see below), whose sum is σ = 562999680. Its totient is φ = 107739840.

The previous prime is 252825323. The next prime is 252825341. The reversal of 252825328 is 823528252.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252825323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13743 + ... + 26353.

It is an arithmetic number, because the mean of its divisors is an integer number (14074992).

Almost surely, 2^252825328 is an apocalyptic number.

252825328 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 252825328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281499840).

252825328 is an abundant number, since it is smaller than the sum of its proper divisors (310174352).

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

252825328 is a wasteful number, since it uses less digits than its factorization.

252825328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12805 (or 12799 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The square root of 252825328 is about 15900.4820052727. The cubic root of 252825328 is about 632.3247676546.

The spelling of 252825328 in words is "two hundred fifty-two million, eight hundred twenty-five thousand, three hundred twenty-eight".