28920018677760 has 1664 divisors, whose sum is σ = 124933818562560. Its totient is φ = 6195473547264.

The previous prime is 28920018677699. The next prime is 28920018677783. The reversal of 28920018677760 is 6777681002982.

28920018677760 is a `hidden beast` number, since 289 + 200 + 1 + 86 + 7 + 7 + 76 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18622033144 + ... + 18622034696.

Almost surely, 2^{28920018677760} is an apocalyptic number.

28920018677760 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 28920018677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62466909281280).

28920018677760 is an abundant number, since it is smaller than the sum of its proper divisors (96013799884800).

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

28920018677760 is a wasteful number, since it uses less digits than its factorization.

28920018677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 28920018677760 in words is "twenty-eight trillion, nine hundred twenty billion, eighteen million, six hundred seventy-seven thousand, seven hundred sixty".