28126624680 has 320 divisors, whose sum is σ = 117864996480. Its totient is φ = 5844441600.

The previous prime is 28126624651. The next prime is 28126624697. The reversal of 28126624680 is 8642662182.

28126624680 is a `hidden beast` number, since 2 + 8 + 12 + 6 + 624 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×28126624680² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 193110 + ... + 305850.

It is an arithmetic number, because the mean of its divisors is an integer number (368328114).

Almost surely, 2^28126624680 is an apocalyptic number.

28126624680 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 28126624680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58932498240).

28126624680 is an abundant number, since it is smaller than the sum of its proper divisors (89738371800).

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

28126624680 is a wasteful number, since it uses less digits than its factorization.

28126624680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112782 (or 112769 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28126624680 in words is "twenty-eight billion, one hundred twenty-six million, six hundred twenty-four thousand, six hundred eighty".