28599439348480 has 2592 divisors, whose sum is σ = 100988707514688. Its totient is φ = 7688550481920.

The previous prime is 28599439348463. The next prime is 28599439348589. The reversal of 28599439348480 is 8484393499582.

It is a super-2 number, since 2×28599439348480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 28599439348397 and 28599439348406.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 391773141724 + ... + 391773141796.

It is an arithmetic number, because the mean of its divisors is an integer number (38961692714).

Almost surely, 2^{28599439348480} is an apocalyptic number.

28599439348480 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 28599439348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50494353757344).

28599439348480 is an abundant number, since it is smaller than the sum of its proper divisors (72389268166208).

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

28599439348480 is a wasteful number, since it uses less digits than its factorization.

28599439348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 76.

The spelling of 28599439348480 in words is "twenty-eight trillion, five hundred ninety-nine billion, four hundred thirty-nine million, three hundred forty-eight thousand, four hundred eighty".