122688328 has 64 divisors (see below), whose sum is σ = 280857600. Its totient is φ = 49109760.

The previous prime is 122688289. The next prime is 122688341. The reversal of 122688328 is 823886221.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49126 + ... + 51562.

It is an arithmetic number, because the mean of its divisors is an integer number (4388400).

Almost surely, 2^122688328 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 122688328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140428800).

122688328 is an abundant number, since it is smaller than the sum of its proper divisors (158169272).

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

122688328 is a wasteful number, since it uses less digits than its factorization.

122688328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2506 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 122688328 is about 11076.4763350083. The cubic root of 122688328 is about 496.8985727408.

The spelling of 122688328 in words is "one hundred twenty-two million, six hundred eighty-eight thousand, three hundred twenty-eight".