28899782311680 has 1152 divisors, whose sum is σ = 118448388495360. Its totient is φ = 6535881031680.

The previous prime is 28899782311553. The next prime is 28899782311739. The reversal of 28899782311680 is 8611328799882.

28899782311680 is a `hidden beast` number, since 2 + 88 + 99 + 78 + 2 + 311 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 28899782311599 and 28899782311608.

It is a congruent number.

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, 12581532292 + ... + 12581534588.

It is an arithmetic number, because the mean of its divisors is an integer number (102819781680).

Almost surely, 2^{28899782311680} is an apocalyptic number.

28899782311680 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 28899782311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59224194247680).

28899782311680 is an abundant number, since it is smaller than the sum of its proper divisors (89548606183680).

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

28899782311680 is a wasteful number, since it uses less digits than its factorization.

28899782311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 28899782311680 in words is "twenty-eight trillion, eight hundred ninety-nine billion, seven hundred eighty-two million, three hundred eleven thousand, six hundred eighty".