28292984831664 has 120 divisors (see below), whose sum is σ = 95815738605600. Its totient is φ = 7608197597184.

The previous prime is 28292984831651. The next prime is 28292984831689. The reversal of 28292984831664 is 46613848929282.

28292984831664 is a `hidden beast` number, since 2 + 82 + 9 + 2 + 9 + 8 + 483 + 1 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28292984831592 and 28292984831601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825525139 + ... + 825559410.

It is an arithmetic number, because the mean of its divisors is an integer number (798464488380).

Almost surely, 2^{28292984831664} is an apocalyptic number.

28292984831664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28292984831664 is an abundant number, since it is smaller than the sum of its proper divisors (67522753773936).

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

28292984831664 is a wasteful number, since it uses less digits than its factorization.

28292984831664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651084587 (or 1651084578 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 28292984831664 in words is "twenty-eight trillion, two hundred ninety-two billion, nine hundred eighty-four million, eight hundred thirty-one thousand, six hundred sixty-four".