252820428 has 96 divisors (see below), whose sum is σ = 692428800. Its totient is φ = 70307136.

The previous prime is 252820387. The next prime is 252820453. The reversal of 252820428 is 824028252.

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, 688701 + ... + 689067.

It is an arithmetic number, because the mean of its divisors is an integer number (7212800).

Almost surely, 2^252820428 is an apocalyptic number.

252820428 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 252820428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346214400).

252820428 is an abundant number, since it is smaller than the sum of its proper divisors (439608372).

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

252820428 is a wasteful number, since it uses less digits than its factorization.

252820428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 252820428 is about 15900.3279211468. The cubic root of 252820428 is about 632.3206826058.

The spelling of 252820428 in words is "two hundred fifty-two million, eight hundred twenty thousand, four hundred twenty-eight".