28738872594432 has 3744 divisors, whose sum is σ = 121513370194944. Its totient is φ = 6421059993600.

The previous prime is 28738872594431. The next prime is 28738872594461. The reversal of 28738872594432 is 23449527883782.

28738872594432 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 8 + 87 + 25 + 94 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28738872594431) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 296277037008 + ... + 296277037104.

It is an arithmetic number, because the mean of its divisors is an integer number (32455494176).

Almost surely, 2^{28738872594432} is an apocalyptic number.

28738872594432 is a gapful number since it is divisible by the number (22) 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 28738872594432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60756685097472).

28738872594432 is an abundant number, since it is smaller than the sum of its proper divisors (92774497600512).

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

28738872594432 is a wasteful number, since it uses less digits than its factorization.

28738872594432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 201 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 28738872594432 in words is "twenty-eight trillion, seven hundred thirty-eight billion, eight hundred seventy-two million, five hundred ninety-four thousand, four hundred thirty-two".