27978100 has 36 divisors (see below), whose sum is σ = 61218304. Its totient is φ = 11098080.

The previous prime is 27978091. The next prime is 27978109. The reversal of 27978100 is 187972.

It is an interprime number because it is at equal distance from previous prime (27978091) and next prime (27978109).

It is a super-2 number, since 2×27978100² = 1565548159220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27978109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11599 + ... + 13801.

Almost surely, 2^27978100 is an apocalyptic number.

27978100 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 27978100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609152).

27978100 is an abundant number, since it is smaller than the sum of its proper divisors (33240204).

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

27978100 is a wasteful number, since it uses less digits than its factorization.

27978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 27978100 is about 5289.4328618482. The cubic root of 27978100 is about 303.5797083258.

The spelling of 27978100 in words is "twenty-seven million, nine hundred seventy-eight thousand, one hundred".