152928 has 60 divisors (see below), whose sum is σ = 457380. Its totient is φ = 50112.

The previous prime is 152909. The next prime is 152939. The reversal of 152928 is 829251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

152928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2563 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (7623).

2¹⁵²⁹²⁸ is an apocalyptic number.

152928 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 152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228690).

152928 is an abundant number, since it is smaller than the sum of its proper divisors (304452).

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

152928 is an equidigital number, since it uses as much as digits as its factorization.

152928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 152928 is about 391.0600976832. The cubic root of 152928 is about 53.4764213215.

The spelling of 152928 in words is "one hundred fifty-two thousand, nine hundred twenty-eight".