28345052736 has 672 divisors, whose sum is σ = 113929119360. Its totient is φ = 6793113600.

The previous prime is 28345052713. The next prime is 28345052737. The reversal of 28345052736 is 63725054382.

28345052736 is a `hidden beast` number, since 2 + 83 + 45 + 0 + 527 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 28345052691 and 28345052700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28345052737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12106926 + ... + 12109266.

It is an arithmetic number, because the mean of its divisors is an integer number (169537380).

Almost surely, 2^28345052736 is an apocalyptic number.

28345052736 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 28345052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56964559680).

28345052736 is an abundant number, since it is smaller than the sum of its proper divisors (85584066624).

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

28345052736 is a wasteful number, since it uses less digits than its factorization.

28345052736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 28345052736 in words is "twenty-eight billion, three hundred forty-five million, fifty-two thousand, seven hundred thirty-six".