28160100777984 has 960 divisors, whose sum is σ = 92536541282304. Its totient is φ = 7434953293824.

The previous prime is 28160100777943. The next prime is 28160100777989. The reversal of 28160100777984 is 48977700106182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28160100777989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124053307279 + ... + 124053307505.

Almost surely, 2^{28160100777984} is an apocalyptic number.

28160100777984 is a gapful number since it is divisible by the number (24) 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 28160100777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46268270641152).

28160100777984 is an abundant number, since it is smaller than the sum of its proper divisors (64376440504320).

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

28160100777984 is a wasteful number, since it uses less digits than its factorization.

28160100777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The spelling of 28160100777984 in words is "twenty-eight trillion, one hundred sixty billion, one hundred million, seven hundred seventy-seven thousand, nine hundred eighty-four".