28415772000000 has 5040 divisors, whose sum is σ = 141900328652544. Its totient is φ = 5474304000000.

The previous prime is 28415771999957. The next prime is 28415772000001. The reversal of 28415772000000 is 27751482.

28415772000000 is a `hidden beast` number, since 2 + 84 + 1 + 577 + 2 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28415772000001) by changing a digit.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 424115999967 + ... + 424116000033.

Almost surely, 2^{28415772000000} is an apocalyptic number.

28415772000000 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 28415772000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70950164326272).

28415772000000 is an abundant number, since it is smaller than the sum of its proper divisors (113484556652544).

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

28415772000000 is an frugal number, since it uses more digits than its factorization.

28415772000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 28415772000000 its reverse (27751482), we get a palindrome (28415799751482).

The spelling of 28415772000000 in words is "twenty-eight trillion, four hundred fifteen billion, seven hundred seventy-two million", and thus it is an aban number.