172877027328 has 576 divisors, whose sum is σ = 558073152000. Its totient is φ = 53293842432.

The previous prime is 172877027321. The next prime is 172877027329. The reversal of 172877027328 is 823720778271.

172877027328 is a `hidden beast` number, since 1 + 7 + 287 + 70 + 273 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172877027321) 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, 444413758 + ... + 444414146.

It is an arithmetic number, because the mean of its divisors is an integer number (968877000).

Almost surely, 2^172877027328 is an apocalyptic number.

172877027328 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 172877027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279036576000).

172877027328 is an abundant number, since it is smaller than the sum of its proper divisors (385196124672).

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

172877027328 is an equidigital number, since it uses as much as digits as its factorization.

172877027328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 172877027328 in words is "one hundred seventy-two billion, eight hundred seventy-seven million, twenty-seven thousand, three hundred twenty-eight".