232628760 has 384 divisors, whose sum is σ = 968647680. Its totient is φ = 48895488.

The previous prime is 232628729. The next prime is 232628771. The reversal of 232628760 is 67826232.

232628760 is a `hidden beast` number, since 23 + 2 + 628 + 7 + 6 + 0 = 666.

232628760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232628760² = 108232279958275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884389 + ... + 884651.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^232628760 is an apocalyptic number.

232628760 is a gapful number since it is divisible by the number (20) 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 232628760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484323840).

232628760 is an abundant number, since it is smaller than the sum of its proper divisors (736018920).

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

232628760 is a wasteful number, since it uses less digits than its factorization.

232628760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 232628760 is about 15252.1723042982. The cubic root of 232628760 is about 615.0179649719.

The spelling of 232628760 in words is "two hundred thirty-two million, six hundred twenty-eight thousand, seven hundred sixty".