28476984358368 has 960 divisors, whose sum is σ = 104322684533760. Its totient is φ = 7420086632448.

The previous prime is 28476984358357. The next prime is 28476984358421. The reversal of 28476984358368 is 86385348967482.

28476984358368 is a `hidden beast` number, since 2 + 8 + 47 + 6 + 9 + 8 + 435 + 83 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9248775453 + ... + 9248778531.

It is an arithmetic number, because the mean of its divisors is an integer number (108669463056).

Almost surely, 2^{28476984358368} is an apocalyptic number.

28476984358368 is a gapful number since it is divisible by the number (28) 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 28476984358368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52161342266880).

28476984358368 is an abundant number, since it is smaller than the sum of its proper divisors (75845700175392).

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

28476984358368 is a wasteful number, since it uses less digits than its factorization.

28476984358368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3564 counting only the distinct ones).

The product of its digits is 13377208320, while the sum is 81.

The spelling of 28476984358368 in words is "twenty-eight trillion, four hundred seventy-six billion, nine hundred eighty-four million, three hundred fifty-eight thousand, three hundred sixty-eight".