28937686783200 has 576 divisors, whose sum is σ = 110869375905792. Its totient is φ = 6487850188800.

The previous prime is 28937686783153. The next prime is 28937686783207. The reversal of 28937686783200 is 238768673982.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28937686783207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15562429 + ... + 17322371.

It is an arithmetic number, because the mean of its divisors is an integer number (192481555392).

Almost surely, 2^{28937686783200} is an apocalyptic number.

28937686783200 is a gapful number since it is divisible by the number (20) 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 28937686783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55434687952896).

28937686783200 is an abundant number, since it is smaller than the sum of its proper divisors (81931689122592).

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

28937686783200 is a wasteful number, since it uses less digits than its factorization.

28937686783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760027 (or 1760014 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 69.

The spelling of 28937686783200 in words is "twenty-eight trillion, nine hundred thirty-seven billion, six hundred eighty-six million, seven hundred eighty-three thousand, two hundred".