28177074720 has 336 divisors, whose sum is σ = 102520033560. Its totient is φ = 7309688832.

The previous prime is 28177074703. The next prime is 28177074721. The reversal of 28177074720 is 2747077182.

28177074720 is a `hidden beast` number, since 2 + 8 + 177 + 0 + 7 + 472 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22180740624 + 5996334096 = 148932^2 + 77436^2 .

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 (28177074721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4312416 + ... + 4318944.

Almost surely, 2^28177074720 is an apocalyptic number.

28177074720 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 28177074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51260016780).

28177074720 is an abundant number, since it is smaller than the sum of its proper divisors (74342958840).

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

28177074720 is an equidigital number, since it uses as much as digits as its factorization.

28177074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The spelling of 28177074720 in words is "twenty-eight billion, one hundred seventy-seven million, seventy-four thousand, seven hundred twenty".