28075201344 has 616 divisors, whose sum is σ = 97189381440. Its totient is φ = 7981535232.

The previous prime is 28075201333. The next prime is 28075201379. The reversal of 28075201344 is 44310257082.

It is a happy number.

28075201344 is a `hidden beast` number, since 2 + 80 + 7 + 520 + 13 + 44 = 666.

It is a super-2 number, since 2×28075201344² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28075201299 and 28075201308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1220660917 + ... + 1220660939.

Almost surely, 2^28075201344 is an apocalyptic number.

28075201344 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 28075201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48594690720).

28075201344 is an abundant number, since it is smaller than the sum of its proper divisors (69114180096).

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

28075201344 is an equidigital number, since it uses as much as digits as its factorization.

28075201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28075201344 in words is "twenty-eight billion, seventy-five million, two hundred one thousand, three hundred forty-four".