28942760560896 has 2880 divisors, whose sum is σ = 114878634393600. Its totient is φ = 7041093599232.

The previous prime is 28942760560823. The next prime is 28942760560913. The reversal of 28942760560896 is 69806506724982.

It is a happy number.

28942760560896 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 2 + 7 + 6 + 0 + 5 + 608 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 227895752385 + ... + 227895752511.

It is an arithmetic number, because the mean of its divisors is an integer number (39888414720).

Almost surely, 2^{28942760560896} is an apocalyptic number.

28942760560896 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 28942760560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57439317196800).

28942760560896 is an abundant number, since it is smaller than the sum of its proper divisors (85935873832704).

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

28942760560896 is a wasteful number, since it uses less digits than its factorization.

28942760560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 28942760560896 in words is "twenty-eight trillion, nine hundred forty-two billion, seven hundred sixty million, five hundred sixty thousand, eight hundred ninety-six".