28100061537408 has 640 divisors, whose sum is σ = 100676656080000. Its totient is φ = 7600380346368.

The previous prime is 28100061537403. The next prime is 28100061537487. The reversal of 28100061537408 is 80473516000182.

28100061537408 is a `hidden beast` number, since 2 + 8 + 10 + 0 + 0 + 61 + 537 + 40 + 8 = 666.

It is a super-2 number, since 2×28100061537408² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28100061537403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2058756568 + ... + 2058770216.

It is an arithmetic number, because the mean of its divisors is an integer number (157307275125).

Almost surely, 2^{28100061537408} is an apocalyptic number.

28100061537408 is a gapful number since it is divisible by the number (28) 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 28100061537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50338328040000).

28100061537408 is an abundant number, since it is smaller than the sum of its proper divisors (72576594542592).

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

28100061537408 is a wasteful number, since it uses less digits than its factorization.

28100061537408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28100061537408 in words is "twenty-eight trillion, one hundred billion, sixty-one million, five hundred thirty-seven thousand, four hundred eight".