252116928 has 224 divisors, whose sum is σ = 892454400. Its totient is φ = 68179968.

The previous prime is 252116903. The next prime is 252116939. The reversal of 252116928 is 829611252.

252116928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 252116892 and 252116901.

It is a congruent number.

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, 229276 + ... + 230372.

Almost surely, 2^252116928 is an apocalyptic number.

252116928 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 252116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446227200).

252116928 is an abundant number, since it is smaller than the sum of its proper divisors (640337472).

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

252116928 is a wasteful number, since it uses less digits than its factorization.

252116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1128 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 252116928 is about 15878.1903250969. The cubic root of 252116928 is about 631.7336376881.

The spelling of 252116928 in words is "two hundred fifty-two million, one hundred sixteen thousand, nine hundred twenty-eight".