252608328 has 192 divisors, whose sum is σ = 845424000. Its totient is φ = 69600384.

The previous prime is 252608327. The next prime is 252608341. The reversal of 252608328 is 823806252.

252608328 is a `hidden beast` number, since 25 + 2 + 608 + 3 + 28 = 666.

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 = 252608292 and 252608301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252608327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306525 + ... + 307347.

It is an arithmetic number, because the mean of its divisors is an integer number (4403250).

Almost surely, 2^252608328 is an apocalyptic number.

252608328 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 252608328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422712000).

252608328 is an abundant number, since it is smaller than the sum of its proper divisors (592815672).

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

252608328 is a wasteful number, since it uses less digits than its factorization.

252608328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 252608328 is about 15893.6568479378. The cubic root of 252608328 is about 632.1438077385.

The spelling of 252608328 in words is "two hundred fifty-two million, six hundred eight thousand, three hundred twenty-eight".