27998100 has 108 divisors (see below), whose sum is σ = 94548636. Its totient is φ = 6888960.

The previous prime is 27998083. The next prime is 27998111. The reversal of 27998100 is 189972.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10458756 + 17539344 = 3234^2 + 4188^2 .

It is a super-2 number, since 2×27998100² = 1567787207220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10504 + ... + 12896.

Almost surely, 2^27998100 is an apocalyptic number.

27998100 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 27998100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47274318).

27998100 is an abundant number, since it is smaller than the sum of its proper divisors (66550536).

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

27998100 is a wasteful number, since it uses less digits than its factorization.

27998100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 27998100 is about 5291.3230859587. The cubic root of 27998100 is about 303.6520285571.

The spelling of 27998100 in words is "twenty-seven million, nine hundred ninety-eight thousand, one hundred".