28876098240 has 896 divisors, whose sum is σ = 117090017280. Its totient is φ = 6774451200.

The previous prime is 28876098227. The next prime is 28876098241. The reversal of 28876098240 is 4289067882.

28876098240 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 609 + 8 + 24 + 0 = 666.

It is a super-2 number, since 2×28876098240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28876098241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 931487025 + ... + 931487055.

Almost surely, 2^28876098240 is an apocalyptic number.

28876098240 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 28876098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58545008640).

28876098240 is an abundant number, since it is smaller than the sum of its proper divisors (88213919040).

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

28876098240 is an frugal number, since it uses more digits than its factorization.

28876098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28876098240 in words is "twenty-eight billion, eight hundred seventy-six million, ninety-eight thousand, two hundred forty".