28005845016240 has 2400 divisors, whose sum is σ = 129251187394560. Its totient is φ = 5457721835520.

The previous prime is 28005845016239. The next prime is 28005845016283. The reversal of 28005845016240 is 4261054850082.

28005845016240 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 5 + 84 + 501 + 62 + 4 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 18833788777 + ... + 18833790263.

Almost surely, 2^{28005845016240} is an apocalyptic number.

28005845016240 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 28005845016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64625593697280).

28005845016240 is an abundant number, since it is smaller than the sum of its proper divisors (101245342378320).

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

28005845016240 is a wasteful number, since it uses less digits than its factorization.

28005845016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 28005845016240 in words is "twenty-eight trillion, five billion, eight hundred forty-five million, sixteen thousand, two hundred forty".