28259507670240 has 1536 divisors, whose sum is σ = 120804969922560. Its totient is φ = 5376054067200.

The previous prime is 28259507670239. The next prime is 28259507670299. The reversal of 28259507670240 is 4207670595282.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3080722294 + ... + 3080731466.

It is an arithmetic number, because the mean of its divisors is an integer number (78649068960).

Almost surely, 2^{28259507670240} is an apocalyptic number.

28259507670240 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 28259507670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60402484961280).

28259507670240 is an abundant number, since it is smaller than the sum of its proper divisors (92545462252320).

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

28259507670240 is a wasteful number, since it uses less digits than its factorization.

28259507670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 28259507670240 in words is "twenty-eight trillion, two hundred fifty-nine billion, five hundred seven million, six hundred seventy thousand, two hundred forty".