28916920403280 has 5760 divisors, whose sum is σ = 144041180774400. Its totient is φ = 5112769019904.

The previous prime is 28916920403257. The next prime is 28916920403303. The reversal of 28916920403280 is 8230402961982.

28916920403280 is a `hidden beast` number, since 2 + 89 + 1 + 69 + 20 + 403 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28916920403257) and next prime (28916920403303).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 227692286577 + ... + 227692286703.

It is an arithmetic number, because the mean of its divisors is an integer number (25007149440).

Almost surely, 2^{28916920403280} is an apocalyptic number.

28916920403280 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 28916920403280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72020590387200).

28916920403280 is an abundant number, since it is smaller than the sum of its proper divisors (115124260371120).

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

28916920403280 is a wasteful number, since it uses less digits than its factorization.

28916920403280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 28916920403280 in words is "twenty-eight trillion, nine hundred sixteen billion, nine hundred twenty million, four hundred three thousand, two hundred eighty".