28127277360 has 480 divisors, whose sum is σ = 117070507008. Its totient is φ = 5893171200.

The previous prime is 28127277319. The next prime is 28127277377. The reversal of 28127277360 is 6377272182.

28127277360 is a `hidden beast` number, since 2 + 8 + 12 + 7 + 277 + 360 = 666.

It is a super-2 number, since 2×28127277360² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9892099 + ... + 9894941.

Almost surely, 2^28127277360 is an apocalyptic number.

28127277360 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 28127277360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58535253504).

28127277360 is an abundant number, since it is smaller than the sum of its proper divisors (88943229648).

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

28127277360 is a wasteful number, since it uses less digits than its factorization.

28127277360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 28127277360 in words is "twenty-eight billion, one hundred twenty-seven million, two hundred seventy-seven thousand, three hundred sixty".