28120954680 has 640 divisors, whose sum is σ = 117401518080. Its totient is φ = 5878656000.

The previous prime is 28120954607. The next prime is 28120954699. The reversal of 28120954680 is 8645902182.

28120954680 is a `hidden beast` number, since 2 + 8 + 1 + 20 + 9 + 546 + 80 = 666.

It is a super-2 number, since 2×28120954680² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37444305 + ... + 37445055.

It is an arithmetic number, because the mean of its divisors is an integer number (183439872).

Almost surely, 2^28120954680 is an apocalyptic number.

28120954680 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 28120954680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58700759040).

28120954680 is an abundant number, since it is smaller than the sum of its proper divisors (89280563400).

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

28120954680 is a wasteful number, since it uses less digits than its factorization.

28120954680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28120954680 in words is "twenty-eight billion, one hundred twenty million, nine hundred fifty-four thousand, six hundred eighty".