28676807381376 has 1024 divisors, whose sum is σ = 110950684416000. Its totient is φ = 7073663385600.

The previous prime is 28676807381329. The next prime is 28676807381381. The reversal of 28676807381376 is 67318370867682.

28676807381376 is a `hidden beast` number, since 2 + 86 + 76 + 80 + 7 + 38 + 1 + 376 = 666.

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

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, 470721670 + ... + 470782586.

It is an arithmetic number, because the mean of its divisors is an integer number (108350277750).

Almost surely, 2^{28676807381376} 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 28676807381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55475342208000).

28676807381376 is an abundant number, since it is smaller than the sum of its proper divisors (82273877034624).

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

28676807381376 is a wasteful number, since it uses less digits than its factorization.

28676807381376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61048 (or 61030 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 28676807381376 in words is "twenty-eight trillion, six hundred seventy-six billion, eight hundred seven million, three hundred eighty-one thousand, three hundred seventy-six".