28490630407680 has 640 divisors, whose sum is σ = 106223567256576. Its totient is φ = 6379683840000.

The previous prime is 28490630407661. The next prime is 28490630407709. The reversal of 28490630407680 is 8670403609482.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 28490630407680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 823102054 + ... + 823136666.

Almost surely, 2^{28490630407680} is an apocalyptic number.

28490630407680 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 28490630407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53111783628288).

28490630407680 is an abundant number, since it is smaller than the sum of its proper divisors (77732936848896).

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

28490630407680 is a wasteful number, since it uses less digits than its factorization.

28490630407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34958 (or 34942 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 28490630407680 in words is "twenty-eight trillion, four hundred ninety billion, six hundred thirty million, four hundred seven thousand, six hundred eighty".