232617728 has 72 divisors (see below), whose sum is σ = 533729280. Its totient is φ = 99118080.

The previous prime is 232617727. The next prime is 232617809. The reversal of 232617728 is 827716232.

It is a super-2 number, since 2×232617728² = 108222014759763968, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 232617691 and 232617700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232617727) 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, 485393 + ... + 485871.

Almost surely, 2^232617728 is an apocalyptic number.

232617728 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 232617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266864640).

232617728 is an abundant number, since it is smaller than the sum of its proper divisors (301111552).

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

232617728 is an equidigital number, since it uses as much as digits as its factorization.

232617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 759 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 232617728 is about 15251.8106466085. The cubic root of 232617728 is about 615.0082427785.

The spelling of 232617728 in words is "two hundred thirty-two million, six hundred seventeen thousand, seven hundred twenty-eight".