28442658816 has 720 divisors, whose sum is σ = 101487285900. Its totient is φ = 7882997760.

The previous prime is 28442658743. The next prime is 28442658943. The reversal of 28442658816 is 61885624482.

28442658816 is a `hidden beast` number, since 2 + 8 + 4 + 42 + 6 + 588 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28191753216 + 250905600 = 167904^2 + 15840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 260941770 + ... + 260941878.

Almost surely, 2^28442658816 is an apocalyptic number.

28442658816 is a gapful number since it is divisible by the number (26) 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 28442658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50743642950).

28442658816 is an abundant number, since it is smaller than the sum of its proper divisors (73044627084).

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

28442658816 is a wasteful number, since it uses less digits than its factorization.

28442658816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 28442658816 in words is "twenty-eight billion, four hundred forty-two million, six hundred fifty-eight thousand, eight hundred sixteen".