28809412853760 has 3840 divisors, whose sum is σ = 139515070464000. Its totient is φ = 5457900994560.

The previous prime is 28809412853713. The next prime is 28809412853773. The reversal of 28809412853760 is 6735821490882.

28809412853760 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 94 + 1 + 2 + 8 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×28809412853760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93841735527 + ... + 93841735833.

It is an arithmetic number, because the mean of its divisors is an integer number (36332049600).

It is a 1-persistent number, because it is pandigital, but 2⋅28809412853760 = 57618825707520 is not.

Almost surely, 2^{28809412853760} is an apocalyptic number.

28809412853760 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 28809412853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69757535232000).

28809412853760 is an abundant number, since it is smaller than the sum of its proper divisors (110705657610240).

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

28809412853760 is a wasteful number, since it uses less digits than its factorization.

28809412853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 28809412853760 in words is "twenty-eight trillion, eight hundred nine billion, four hundred twelve million, eight hundred fifty-three thousand, seven hundred sixty".