123596928 has 320 divisors, whose sum is σ = 456160320. Its totient is φ = 32348160.

The previous prime is 123596911. The next prime is 123596933. The reversal of 123596928 is 829695321.

It is a super-2 number, since 2×123596928² = 30552401222074368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943423 + ... + 943553.

It is an arithmetic number, because the mean of its divisors is an integer number (1425501).

Almost surely, 2^123596928 is an apocalyptic number.

123596928 is a gapful number since it is divisible by the number (18) 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 123596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228080160).

123596928 is an abundant number, since it is smaller than the sum of its proper divisors (332563392).

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

123596928 is a wasteful number, since it uses less digits than its factorization.

123596928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 123596928 is about 11117.4155270009. The cubic root of 123596928 is about 498.1221938500.

The spelling of 123596928 in words is "one hundred twenty-three million, five hundred ninety-six thousand, nine hundred twenty-eight".