27828402160 has 80 divisors (see below), whose sum is σ = 69985583136. Its totient is φ = 10229750784.

The previous prime is 27828402103. The next prime is 27828402227. The reversal of 27828402160 is 6120482872.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177142 + ... + 295018.

Almost surely, 2^27828402160 is an apocalyptic number.

27828402160 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 27828402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992791568).

27828402160 is an abundant number, since it is smaller than the sum of its proper divisors (42157180976).

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

27828402160 is a wasteful number, since it uses less digits than its factorization.

27828402160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118130 (or 118124 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 27828402160 in words is "twenty-seven billion, eight hundred twenty-eight million, four hundred two thousand, one hundred sixty".