28634997499680 has 768 divisors, whose sum is σ = 106456032829440. Its totient is φ = 6378493132800.

The previous prime is 28634997499643. The next prime is 28634997499763. The reversal of 28634997499680 is 8699479943682.

It is a junction number, because it is equal to n+sod(n) for n = 28634997499593 and 28634997499602.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18134893131 + ... + 18134894709.

It is an arithmetic number, because the mean of its divisors is an integer number (138614626080).

Almost surely, 2^{28634997499680} is an apocalyptic number.

28634997499680 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 28634997499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53228016414720).

28634997499680 is an abundant number, since it is smaller than the sum of its proper divisors (77821035329760).

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

28634997499680 is a wasteful number, since it uses less digits than its factorization.

28634997499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 10158317568, while the sum is 84.

The spelling of 28634997499680 in words is "twenty-eight trillion, six hundred thirty-four billion, nine hundred ninety-seven million, four hundred ninety-nine thousand, six hundred eighty".