28277182080 has 512 divisors, whose sum is σ = 115261632000. Its totient is φ = 6417874944.

The previous prime is 28277182069. The next prime is 28277182081. The reversal of 28277182080 is 8028177282.

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

It is not an unprimeable number, because it can be changed into a prime (28277182081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18989976 + ... + 18991464.

It is an arithmetic number, because the mean of its divisors is an integer number (225120375).

Almost surely, 2^28277182080 is an apocalyptic number.

28277182080 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 28277182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57630816000).

28277182080 is an abundant number, since it is smaller than the sum of its proper divisors (86984449920).

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

28277182080 is a wasteful number, since it uses less digits than its factorization.

28277182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 28277182080 in words is "twenty-eight billion, two hundred seventy-seven million, one hundred eighty-two thousand, eighty".