28133413776 has 150 divisors (see below), whose sum is σ = 88172318850. Its totient is φ = 8656367616.

The previous prime is 28133413771. The next prime is 28133413801. The reversal of 28133413776 is 67731433182.

28133413776 is a `hidden beast` number, since 281 + 334 + 1 + 37 + 7 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2073600 + 28131340176 = 1440^2 + 167724^2 .

It is not an unprimeable number, because it can be changed into a prime (28133413771) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 154800 + ... + 283248.

It is an arithmetic number, because the mean of its divisors is an integer number (587815459).

Almost surely, 2^28133413776 is an apocalyptic number.

28133413776 is a gapful number since it is divisible by the number (26) 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 28133413776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44086159425).

28133413776 is an abundant number, since it is smaller than the sum of its proper divisors (60038905074).

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

28133413776 is a wasteful number, since it uses less digits than its factorization.

28133413776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128495 (or 128467 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 28133413776 in words is "twenty-eight billion, one hundred thirty-three million, four hundred thirteen thousand, seven hundred seventy-six".