172838928 has 80 divisors (see below), whose sum is σ = 475969536. Its totient is φ = 53919360.

The previous prime is 172838917. The next prime is 172838929. The reversal of 172838928 is 829838271.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (172838929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50223 + ... + 53553.

Almost surely, 2^172838928 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 172838928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237984768).

172838928 is an abundant number, since it is smaller than the sum of its proper divisors (303130608).

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

172838928 is a wasteful number, since it uses less digits than its factorization.

172838928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3406 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 172838928 is about 13146.8219733896. The cubic root of 172838928 is about 557.0324827658.

The spelling of 172838928 in words is "one hundred seventy-two million, eight hundred thirty-eight thousand, nine hundred twenty-eight".