172428900 has 144 divisors (see below), whose sum is σ = 582629376. Its totient is φ = 38551680.

The previous prime is 172428887. The next prime is 172428929. The reversal of 172428900 is 9824271.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97827 + ... + 99573.

Almost surely, 2^172428900 is an apocalyptic number.

172428900 is a gapful number since it is divisible by the number (10) 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 172428900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291314688).

172428900 is an abundant number, since it is smaller than the sum of its proper divisors (410200476).

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

172428900 is a wasteful number, since it uses less digits than its factorization.

172428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 172428900 is about 13131.2185268542. The cubic root of 172428900 is about 556.5916488882.

The spelling of 172428900 in words is "one hundred seventy-two million, four hundred twenty-eight thousand, nine hundred".