28238133207744 has 112 divisors (see below), whose sum is σ = 83031382425600. Its totient is φ = 9410840195328.

The previous prime is 28238133207677. The next prime is 28238133207793. The reversal of 28238133207744 is 44770233183282.

28238133207744 is a `hidden beast` number, since 2 + 8 + 238 + 1 + 332 + 0 + 7 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7085889 + ... + 10328895.

It is an arithmetic number, because the mean of its divisors is an integer number (741351628800).

Almost surely, 2^{28238133207744} is an apocalyptic number.

28238133207744 is a gapful number since it is divisible by the number (24) 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 28238133207744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41515691212800).

28238133207744 is an abundant number, since it is smaller than the sum of its proper divisors (54793249217856).

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

28238133207744 is a wasteful number, since it uses less digits than its factorization.

28238133207744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248067 (or 3248051 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 28238133207744 in words is "twenty-eight trillion, two hundred thirty-eight billion, one hundred thirty-three million, two hundred seven thousand, seven hundred forty-four".