172516428 has 144 divisors (see below), whose sum is σ = 530449920. Its totient is φ = 46179072.

The previous prime is 172516423. The next prime is 172516453. The reversal of 172516428 is 824615271.

172516428 is a `hidden beast` number, since 1 + 7 + 2 + 5 + 1 + 642 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172516392 and 172516401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172516423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655825 + ... + 656087.

It is an arithmetic number, because the mean of its divisors is an integer number (3683680).

Almost surely, 2^172516428 is an apocalyptic number.

172516428 is a gapful number since it is divisible by the number (18) 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 172516428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265224960).

172516428 is an abundant number, since it is smaller than the sum of its proper divisors (357933492).

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

172516428 is a wasteful number, since it uses less digits than its factorization.

172516428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 172516428 is about 13134.5509249460. The cubic root of 172516428 is about 556.6858115893.

The spelling of 172516428 in words is "one hundred seventy-two million, five hundred sixteen thousand, four hundred twenty-eight".