27828780 has 96 divisors (see below), whose sum is σ = 89800704. Its totient is φ = 6307584.

The previous prime is 27828751. The next prime is 27828797. The reversal of 27828780 is 8782872.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72469 + ... + 72851.

It is an arithmetic number, because the mean of its divisors is an integer number (935424).

Almost surely, 2^27828780 is an apocalyptic number.

27828780 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 27828780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44900352).

27828780 is an abundant number, since it is smaller than the sum of its proper divisors (61971924).

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

27828780 is a wasteful number, since it uses less digits than its factorization.

27828780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 27828780 is about 5275.2990436562. The cubic root of 27828780 is about 303.0386731890.

The spelling of 27828780 in words is "twenty-seven million, eight hundred twenty-eight thousand, seven hundred eighty".