122928 has 40 divisors (see below), whose sum is σ = 343728. Its totient is φ = 37632.

The previous prime is 122921. The next prime is 122929. The reversal of 122928 is 829221.

It is a super-2 number, since 2×122928² = 30222586368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 122898 and 122907.

It is not an unprimeable number, because it can be changed into a prime (122921) 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, 526 + ... + 722.

2¹²²⁹²⁸ 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 122928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

122928 is an abundant number, since it is smaller than the sum of its proper divisors (220800).

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

122928 is a wasteful number, since it uses less digits than its factorization.

122928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 122928 is about 350.6108954382. The cubic root of 122928 is about 49.7221926536.

The spelling of 122928 in words is "one hundred twenty-two thousand, nine hundred twenty-eight".