26928388472832 has 2048 divisors, whose sum is σ = 105525736243200. Its totient is φ = 6582435840000.

The previous prime is 26928388472767. The next prime is 26928388472851. The reversal of 26928388472832 is 23827488382962.

26928388472832 is a `hidden beast` number, since 2 + 6 + 92 + 8 + 38 + 8 + 472 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86586457957 + ... + 86586458267.

It is an arithmetic number, because the mean of its divisors is an integer number (51526238400).

Almost surely, 2^{26928388472832} is an apocalyptic number.

26928388472832 is a gapful number since it is divisible by the number (22) 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 26928388472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52762868121600).

26928388472832 is an abundant number, since it is smaller than the sum of its proper divisors (78597347770368).

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

26928388472832 is a wasteful number, since it uses less digits than its factorization.

26928388472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 406 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 26928388472832 in words is "twenty-six trillion, nine hundred twenty-eight billion, three hundred eighty-eight million, four hundred seventy-two thousand, eight hundred thirty-two".