272628820 has 48 divisors (see below), whose sum is σ = 585906048. Its totient is φ = 106520960.

The previous prime is 272628817. The next prime is 272628823. The reversal of 272628820 is 28826272.

It is an interprime number because it is at equal distance from previous prime (272628817) and next prime (272628823).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 272628820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272628823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329247 + ... + 330073.

It is an arithmetic number, because the mean of its divisors is an integer number (12206376).

Almost surely, 2^272628820 is an apocalyptic number.

272628820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272628820 is an abundant number, since it is smaller than the sum of its proper divisors (313277228).

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

272628820 is a wasteful number, since it uses less digits than its factorization.

272628820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 272628820 is about 16511.4754034883. The cubic root of 272628820 is about 648.4212732127.

The spelling of 272628820 in words is "two hundred seventy-two million, six hundred twenty-eight thousand, eight hundred twenty".