28819725480 has 960 divisors, whose sum is σ = 122697020160. Its totient is φ = 5939122176.

The previous prime is 28819725437. The next prime is 28819725481. The reversal of 28819725480 is 8452791882.

28819725480 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 97 + 2 + 548 + 0 = 666.

It is a super-2 number, since 2×28819725480² (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 not an unprimeable number, because it can be changed into a prime (28819725481) 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 239 ways as a sum of consecutive naturals, for example, 279803109 + ... + 279803211.

It is an arithmetic number, because the mean of its divisors is an integer number (127809396).

Almost surely, 2^28819725480 is an apocalyptic number.

28819725480 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 28819725480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61348510080).

28819725480 is an abundant number, since it is smaller than the sum of its proper divisors (93877294680).

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

28819725480 is a wasteful number, since it uses less digits than its factorization.

28819725480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 28819725480 in words is "twenty-eight billion, eight hundred nineteen million, seven hundred twenty-five thousand, four hundred eighty".