123152928 has 48 divisors (see below), whose sum is σ = 324678816. Its totient is φ = 40872960.

The previous prime is 123152891. The next prime is 123152929. The reversal of 123152928 is 829251321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (123152929) 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, 20475 + ... + 25797.

It is an arithmetic number, because the mean of its divisors is an integer number (6764142).

Almost surely, 2^123152928 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 123152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162339408).

123152928 is an abundant number, since it is smaller than the sum of its proper divisors (201525888).

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

123152928 is a wasteful number, since it uses less digits than its factorization.

123152928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5569 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 123152928 is about 11097.4288914144. The cubic root of 123152928 is about 497.5250063607.

The spelling of 123152928 in words is "one hundred twenty-three million, one hundred fifty-two thousand, nine hundred twenty-eight".