28277100 has 90 divisors (see below), whose sum is σ = 91689444. Its totient is φ = 7538400.

The previous prime is 28277089. The next prime is 28277141. The reversal of 28277100 is 177282.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6355 + ... + 9845.

Almost surely, 2^28277100 is an apocalyptic number.

28277100 is a gapful number since it is divisible by the number (20) 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 28277100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45844722).

28277100 is an abundant number, since it is smaller than the sum of its proper divisors (63412344).

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

28277100 is a wasteful number, since it uses less digits than its factorization.

28277100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 28277100 is about 5317.6216488201. The cubic root of 28277100 is about 304.6573236386.

The spelling of 28277100 in words is "twenty-eight million, two hundred seventy-seven thousand, one hundred".