28110426624 has 840 divisors, whose sum is σ = 103248955260. Its totient is φ = 7608287232.

The previous prime is 28110426623. The next prime is 28110426689. The reversal of 28110426624 is 42662401182.

28110426624 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 0 + 4 + 26 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27662342400 + 448084224 = 166320^2 + 21168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (28110426623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 530385382 + ... + 530385434.

Almost surely, 2^28110426624 is an apocalyptic number.

28110426624 is a gapful number since it is divisible by the number (24) 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 28110426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51624477630).

28110426624 is an abundant number, since it is smaller than the sum of its proper divisors (75138528636).

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

28110426624 is an frugal number, since it uses more digits than its factorization.

28110426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 28110426624 in words is "twenty-eight billion, one hundred ten million, four hundred twenty-six thousand, six hundred twenty-four".