28376100 has 108 divisors (see below), whose sum is σ = 91231140. Its totient is φ = 7372800.

The previous prime is 28376083. The next prime is 28376119. The reversal of 28376100 is 167382.

It can be written as a sum of positive squares in 6 ways, for example, as 6022116 + 22353984 = 2454^2 + 4728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36516 + ... + 37284.

Almost surely, 2^28376100 is an apocalyptic number.

28376100 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 28376100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45615570).

28376100 is an abundant number, since it is smaller than the sum of its proper divisors (62855040).

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

28376100 is a wasteful number, since it uses less digits than its factorization.

28376100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 28376100 is about 5326.9221882810. The cubic root of 28376100 is about 305.0124513415.

The spelling of 28376100 in words is "twenty-eight million, three hundred seventy-six thousand, one hundred".