28770767182080 has 3888 divisors, whose sum is σ = 139305642315840. Its totient is φ = 5405692723200.

The previous prime is 28770767182067. The next prime is 28770767182081. The reversal of 28770767182080 is 8028176707782.

28770767182080 is a `hidden beast` number, since 287 + 70 + 76 + 7 + 18 + 208 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28770767181999 and 28770767182017.

It is not an unprimeable number, because it can be changed into a prime (28770767182081) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 62409473050 + ... + 62409473510.

Almost surely, 2^{28770767182080} is an apocalyptic number.

28770767182080 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 28770767182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69652821157920).

28770767182080 is an abundant number, since it is smaller than the sum of its proper divisors (110534875133760).

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

28770767182080 is a wasteful number, since it uses less digits than its factorization.

28770767182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 63.

The spelling of 28770767182080 in words is "twenty-eight trillion, seven hundred seventy billion, seven hundred sixty-seven million, one hundred eighty-two thousand, eighty".