28938870028640 has 384 divisors, whose sum is σ = 84743751052800. Its totient is φ = 9181184163840.

The previous prime is 28938870028639. The next prime is 28938870028681. The reversal of 28938870028640 is 4682007883982.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188156891 + ... + 188310629.

It is an arithmetic number, because the mean of its divisors is an integer number (220686851700).

Almost surely, 2^{28938870028640} is an apocalyptic number.

28938870028640 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 28938870028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42371875526400).

28938870028640 is an abundant number, since it is smaller than the sum of its proper divisors (55804881024160).

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

28938870028640 is a wasteful number, since it uses less digits than its factorization.

28938870028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154230 (or 154222 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 65.

The spelling of 28938870028640 in words is "twenty-eight trillion, nine hundred thirty-eight billion, eight hundred seventy million, twenty-eight thousand, six hundred forty".