28990241280 has 1280 divisors, whose sum is σ = 138591129600. Its totient is φ = 5547294720.

The previous prime is 28990241213. The next prime is 28990241317. The reversal of 28990241280 is 8214209982.

It is a happy number.

28990241280 is a `hidden beast` number, since 289 + 90 + 2 + 4 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 69188911 + ... + 69189329.

It is an arithmetic number, because the mean of its divisors is an integer number (108274320).

Almost surely, 2^28990241280 is an apocalyptic number.

28990241280 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 28990241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69295564800).

28990241280 is an abundant number, since it is smaller than the sum of its proper divisors (109600888320).

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

28990241280 is a wasteful number, since it uses less digits than its factorization.

28990241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 28990241280 in words is "twenty-eight billion, nine hundred ninety million, two hundred forty-one thousand, two hundred eighty".