172628400 has 120 divisors (see below), whose sum is σ = 632015104. Its totient is φ = 39456000.

The previous prime is 172628383. The next prime is 172628411. The reversal of 172628400 is 4826271.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876 + ... + 18675.

Almost surely, 2^172628400 is an apocalyptic number.

172628400 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 172628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316007552).

172628400 is an abundant number, since it is smaller than the sum of its proper divisors (459386704).

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

172628400 is a wasteful number, since it uses less digits than its factorization.

172628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20579 (or 20568 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 172628400 is about 13138.8127317502. The cubic root of 172628400 is about 556.8062247454.

The spelling of 172628400 in words is "one hundred seventy-two million, six hundred twenty-eight thousand, four hundred".