28895979612240 has 800 divisors, whose sum is σ = 109039854502656. Its totient is φ = 7049828597760.

The previous prime is 28895979612229. The next prime is 28895979612293. The reversal of 28895979612240 is 4221697959882.

28895979612240 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 597 + 9 + 6 + 1 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17027683072 + ... + 17027684768.

Almost surely, 2^{28895979612240} is an apocalyptic number.

28895979612240 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 28895979612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54519927251328).

28895979612240 is an abundant number, since it is smaller than the sum of its proper divisors (80143874890416).

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

28895979612240 is a wasteful number, since it uses less digits than its factorization.

28895979612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 28895979612240 in words is "twenty-eight trillion, eight hundred ninety-five billion, nine hundred seventy-nine million, six hundred twelve thousand, two hundred forty".