252428288 has 120 divisors (see below), whose sum is σ = 603961344. Its totient is φ = 103219200.

The previous prime is 252428287. The next prime is 252428299. The reversal of 252428288 is 882824252.

It is a super-2 number, since 2×252428288² = 127440081165221888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252428287) 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, 3555293 + ... + 3555363.

Almost surely, 2^252428288 is an apocalyptic number.

252428288 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 252428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301980672).

252428288 is an abundant number, since it is smaller than the sum of its proper divisors (351533056).

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

252428288 is an frugal number, since it uses more digits than its factorization.

252428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its digits is 163840, while the sum is 41.

The square root of 252428288 is about 15887.9919436032. The cubic root of 252428288 is about 631.9935907057.

The spelling of 252428288 in words is "two hundred fifty-two million, four hundred twenty-eight thousand, two hundred eighty-eight".