28007051304960 has 3584 divisors, whose sum is σ = 131196531916800. Its totient is φ = 5503765708800.

The previous prime is 28007051304943. The next prime is 28007051304961. The reversal of 28007051304960 is 6940315070082.

28007051304960 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 70 + 513 + 0 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28007051304961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 185477160885 + ... + 185477161035.

It is an arithmetic number, because the mean of its divisors is an integer number (36606175200).

It is a 1-persistent number, because it is pandigital, but 2⋅28007051304960 = 56014102609920 is not.

Almost surely, 2^{28007051304960} is an apocalyptic number.

28007051304960 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 28007051304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65598265958400).

28007051304960 is an abundant number, since it is smaller than the sum of its proper divisors (103189480611840).

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

28007051304960 is a wasteful number, since it uses less digits than its factorization.

28007051304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28007051304960 in words is "twenty-eight trillion, seven billion, fifty-one million, three hundred four thousand, nine hundred sixty".