252793728 has 96 divisors (see below), whose sum is σ = 793611000. Its totient is φ = 76600320.

The previous prime is 252793721. The next prime is 252793753. The reversal of 252793728 is 827397252.

252793728 is a `hidden beast` number, since 2 + 5 + 279 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×252793728² = 127809337832275968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252793721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2698 + ... + 22646.

Almost surely, 2^252793728 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 252793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396805500).

252793728 is an abundant number, since it is smaller than the sum of its proper divisors (540817272).

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

252793728 is a wasteful number, since it uses less digits than its factorization.

252793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19980 (or 19965 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 252793728 is about 15899.4882936527. The cubic root of 252793728 is about 632.2984223310.

The spelling of 252793728 in words is "two hundred fifty-two million, seven hundred ninety-three thousand, seven hundred twenty-eight".