28395642240 has 768 divisors, whose sum is σ = 116685878400. Its totient is φ = 6228541440.

The previous prime is 28395642227. The next prime is 28395642259. The reversal of 28395642240 is 4224659382.

28395642240 is a `hidden beast` number, since 2 + 83 + 9 + 564 + 2 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147127584 + ... + 147127776.

Almost surely, 2^28395642240 is an apocalyptic number.

28395642240 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 28395642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58342939200).

28395642240 is an abundant number, since it is smaller than the sum of its proper divisors (88290236160).

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

28395642240 is a wasteful number, since it uses less digits than its factorization.

28395642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28395642240 in words is "twenty-eight billion, three hundred ninety-five million, six hundred forty-two thousand, two hundred forty".