28201144680 has 160 divisors (see below), whose sum is σ = 94982580000. Its totient is φ = 7504804224.

The previous prime is 28201144613. The next prime is 28201144693. The reversal of 28201144680 is 8644110282.

28201144680 is a `hidden beast` number, since 2 + 8 + 201 + 1 + 446 + 8 + 0 = 666.

It is a super-2 number, since 2×28201144680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1608039 + ... + 1625481.

It is an arithmetic number, because the mean of its divisors is an integer number (593641125).

Almost surely, 2^28201144680 is an apocalyptic number.

28201144680 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 28201144680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47491290000).

28201144680 is an abundant number, since it is smaller than the sum of its proper divisors (66781435320).

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

28201144680 is a wasteful number, since it uses less digits than its factorization.

28201144680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17965 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 28201144680 in words is "twenty-eight billion, two hundred one million, one hundred forty-four thousand, six hundred eighty".