28029288306400 has 72 divisors (see below), whose sum is σ = 68431730479560. Its totient is φ = 11210858319360.

The previous prime is 28029288306361. The next prime is 28029288306407. The reversal of 28029288306400 is 460388292082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28029288306407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9185106 + ... + 11850094.

It is an arithmetic number, because the mean of its divisors is an integer number (950440701105).

Almost surely, 2^{28029288306400} is an apocalyptic number.

28029288306400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28029288306400 is an abundant number, since it is smaller than the sum of its proper divisors (40402442173160).

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

28029288306400 is a wasteful number, since it uses less digits than its factorization.

28029288306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678156 (or 2678143 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 28029288306400 in words is "twenty-eight trillion, twenty-nine billion, two hundred eighty-eight million, three hundred six thousand, four hundred".