28501581335040 has 1280 divisors, whose sum is σ = 121312492646400. Its totient is φ = 6261143961600.

The previous prime is 28501581335023. The next prime is 28501581335053. The reversal of 28501581335040 is 4053318510582.

28501581335040 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 1 + 5 + 8 + 133 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 332216950 + ... + 332302730.

It is an arithmetic number, because the mean of its divisors is an integer number (94775384880).

Almost surely, 2^{28501581335040} is an apocalyptic number.

28501581335040 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 28501581335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60656246323200).

28501581335040 is an abundant number, since it is smaller than the sum of its proper divisors (92810911311360).

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

28501581335040 is a wasteful number, since it uses less digits than its factorization.

28501581335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85866 (or 85844 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 28501581335040 in words is "twenty-eight trillion, five hundred one billion, five hundred eighty-one million, three hundred thirty-five thousand, forty".