28509087901770 has 384 divisors, whose sum is σ = 88673953665024. Its totient is φ = 6455323413504.

The previous prime is 28509087901739. The next prime is 28509087901771. The reversal of 28509087901770 is 7710978090582.

28509087901770 is a `hidden beast` number, since 28 + 509 + 0 + 8 + 7 + 90 + 17 + 7 + 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 = 28509087901698 and 28509087901707.

It is not an unprimeable number, because it can be changed into a prime (28509087901771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6656334049 + ... + 6656338331.

It is an arithmetic number, because the mean of its divisors is an integer number (230921754336).

Almost surely, 2^{28509087901770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28509087901770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44336976832512).

28509087901770 is an abundant number, since it is smaller than the sum of its proper divisors (60164865763254).

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

28509087901770 is a wasteful number, since it uses less digits than its factorization.

28509087901770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 28509087901770 in words is "twenty-eight trillion, five hundred nine billion, eighty-seven million, nine hundred one thousand, seven hundred seventy".