285272100 has 81 divisors (see below), whose sum is σ = 895760593. Its totient is φ = 75937440.

The previous prime is 285272089. The next prime is 285272111. The reversal of 285272100 is 1272582.

The square root of 285272100 is 16890.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (285272089) and next prime (285272111).

It can be written as a sum of positive squares in only one way, i.e., 102697956 + 182574144 = 10134^2 + 13512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 506419 + ... + 506981.

Almost surely, 2^285272100 is an apocalyptic number.

285272100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285272100 is the 16890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285272100

285272100 is an abundant number, since it is smaller than the sum of its proper divisors (610488493).

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

285272100 is a wasteful number, since it uses less digits than its factorization.

285272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The cubic root of 285272100 is about 658.2938023941.

The spelling of 285272100 in words is "two hundred eighty-five million, two hundred seventy-two thousand, one hundred".