27892302480 has 640 divisors, whose sum is σ = 117135360000. Its totient is φ = 5958531072.

The previous prime is 27892302467. The next prime is 27892302491. The reversal of 27892302480 is 8420329872.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22694506 + ... + 22695734.

It is an arithmetic number, because the mean of its divisors is an integer number (183024000).

Almost surely, 2^27892302480 is an apocalyptic number.

27892302480 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 27892302480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58567680000).

27892302480 is an abundant number, since it is smaller than the sum of its proper divisors (89243057520).

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

27892302480 is a wasteful number, since it uses less digits than its factorization.

27892302480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27892302480 in words is "twenty-seven billion, eight hundred ninety-two million, three hundred two thousand, four hundred eighty".