28416040416 has 144 divisors (see below), whose sum is σ = 81579161664. Its totient is φ = 9382044672.

The previous prime is 28416040399. The next prime is 28416040453. The reversal of 28416040416 is 61404061482.

It is a happy number.

28416040416 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 604 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 17949961 + ... + 17951543.

It is an arithmetic number, because the mean of its divisors is an integer number (566521956).

Almost surely, 2^28416040416 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 28416040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40789580832).

28416040416 is an abundant number, since it is smaller than the sum of its proper divisors (53163121248).

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

28416040416 is a wasteful number, since it uses less digits than its factorization.

28416040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 28416040416 in words is "twenty-eight billion, four hundred sixteen million, forty thousand, four hundred sixteen".