28133260378416 has 640 divisors, whose sum is σ = 85343851929600. Its totient is φ = 8862400512000.

The previous prime is 28133260378393. The next prime is 28133260378429. The reversal of 28133260378416 is 61487306233182.

It is a happy number.

28133260378416 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 3 + 260 + 378 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 43889641456 + ... + 43889642096.

It is an arithmetic number, because the mean of its divisors is an integer number (133349768640).

Almost surely, 2^{28133260378416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28133260378416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42671925964800).

28133260378416 is an abundant number, since it is smaller than the sum of its proper divisors (57210591551184).

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

28133260378416 is a wasteful number, since it uses less digits than its factorization.

28133260378416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 28133260378416 in words is "twenty-eight trillion, one hundred thirty-three billion, two hundred sixty million, three hundred seventy-eight thousand, four hundred sixteen".