252803028 has 48 divisors (see below), whose sum is σ = 616887936. Its totient is φ = 80424960.

The previous prime is 252803027. The next prime is 252803029. The reversal of 252803028 is 820308252.

252803028 is digitally balanced in base 3, 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 (252803027) and next prime (252803029).

It is a junction number, because it is equal to n+sod(n) for n = 252802986 and 252803004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252803027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185068 + ... + 186428.

It is an arithmetic number, because the mean of its divisors is an integer number (12851832).

Almost surely, 2^252803028 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 252803028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308443968).

252803028 is an abundant number, since it is smaller than the sum of its proper divisors (364084908).

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

252803028 is a wasteful number, since it uses less digits than its factorization.

252803028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 252803028 is about 15899.7807532054. The cubic root of 252803028 is about 632.3061760878.

The spelling of 252803028 in words is "two hundred fifty-two million, eight hundred three thousand, twenty-eight".