28306370134080 has 1120 divisors, whose sum is σ = 108046286726400. Its totient is φ = 7018101522432.

The previous prime is 28306370134079. The next prime is 28306370134111. The reversal of 28306370134080 is 8043107360382.

28306370134080 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 637 + 0 + 1 + 3 + 4 + 0 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 3444012211 + ... + 3444020429.

Almost surely, 2^{28306370134080} is an apocalyptic number.

28306370134080 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 28306370134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54023143363200).

28306370134080 is an abundant number, since it is smaller than the sum of its proper divisors (79739916592320).

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

28306370134080 is a wasteful number, since it uses less digits than its factorization.

28306370134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 28306370134080 in words is "twenty-eight trillion, three hundred six billion, three hundred seventy million, one hundred thirty-four thousand, eighty".