28438997723136 has 1536 divisors, whose sum is σ = 119767121510400. Its totient is φ = 6417237934080.

The previous prime is 28438997723083. The next prime is 28438997723141. The reversal of 28438997723136 is 63132779983482.

28438997723136 is a `hidden beast` number, since 2 + 8 + 4 + 389 + 9 + 7 + 7 + 231 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 940956921 + ... + 940987143.

It is an arithmetic number, because the mean of its divisors is an integer number (77973386400).

Almost surely, 2^{28438997723136} is an apocalyptic number.

28438997723136 is a gapful number since it is divisible by the number (26) 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 28438997723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59883560755200).

28438997723136 is an abundant number, since it is smaller than the sum of its proper divisors (91328123787264).

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

28438997723136 is a wasteful number, since it uses less digits than its factorization.

28438997723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30302 (or 30276 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 28438997723136 in words is "twenty-eight trillion, four hundred thirty-eight billion, nine hundred ninety-seven million, seven hundred twenty-three thousand, one hundred thirty-six".