28973842560 has 896 divisors, whose sum is σ = 118839616560. Its totient is φ = 6688604160.

The previous prime is 28973842553. The next prime is 28973842561. The reversal of 28973842560 is 6524837982.

28973842560 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 38 + 42 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13655324736 + 15318517824 = 116856^2 + 123768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 28973842497 and 28973842506.

It is not an unprimeable number, because it can be changed into a prime (28973842561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103109620 + ... + 103109900.

Almost surely, 2^28973842560 is an apocalyptic number.

28973842560 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 28973842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59419808280).

28973842560 is an abundant number, since it is smaller than the sum of its proper divisors (89865774000).

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

28973842560 is a wasteful number, since it uses less digits than its factorization.

28973842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28973842560 in words is "twenty-eight billion, nine hundred seventy-three million, eight hundred forty-two thousand, five hundred sixty".