172988928 has 240 divisors, whose sum is σ = 592390656. Its totient is φ = 47554560.

The previous prime is 172988899. The next prime is 172988929. The reversal of 172988928 is 829889271.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (172988929) by changing a digit.

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, 999850 + ... + 1000022.

Almost surely, 2^172988928 is an apocalyptic number.

172988928 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 172988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296195328).

172988928 is an abundant number, since it is smaller than the sum of its proper divisors (419401728).

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

172988928 is a wasteful number, since it uses less digits than its factorization.

172988928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 172988928 is about 13152.5255369454. The cubic root of 172988928 is about 557.1935782507.

The spelling of 172988928 in words is "one hundred seventy-two million, nine hundred eighty-eight thousand, nine hundred twenty-eight".