28745661960 has 192 divisors, whose sum is σ = 95192210880. Its totient is φ = 7521016320.

The previous prime is 28745661953. The next prime is 28745662013. The reversal of 28745661960 is 6916654782.

28745661960 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 566 + 19 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28745661897 and 28745661906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10253919 + ... + 10256721.

It is an arithmetic number, because the mean of its divisors is an integer number (495792765).

Almost surely, 2^28745661960 is an apocalyptic number.

28745661960 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 28745661960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47596105440).

28745661960 is an abundant number, since it is smaller than the sum of its proper divisors (66446548920).

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

28745661960 is a wasteful number, since it uses less digits than its factorization.

28745661960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28745661960 in words is "twenty-eight billion, seven hundred forty-five million, six hundred sixty-one thousand, nine hundred sixty".