252628068 has 96 divisors (see below), whose sum is σ = 742468608. Its totient is φ = 64944000.

The previous prime is 252628049. The next prime is 252628087. The reversal of 252628068 is 860826252.

252628068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252628049) and next prime (252628087).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91971 + ... + 94677.

It is an arithmetic number, because the mean of its divisors is an integer number (7734048).

Almost surely, 2^252628068 is an apocalyptic number.

252628068 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 252628068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371234304).

252628068 is an abundant number, since it is smaller than the sum of its proper divisors (489840540).

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

252628068 is a wasteful number, since it uses less digits than its factorization.

252628068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 252628068 is about 15894.2778382662. The cubic root of 252628068 is about 632.1602735374.

The spelling of 252628068 in words is "two hundred fifty-two million, six hundred twenty-eight thousand, sixty-eight".