28603005874560 has 384 divisors, whose sum is σ = 106380329983200. Its totient is φ = 7039885934592.

The previous prime is 28603005874549. The next prime is 28603005874591. The reversal of 28603005874560 is 6547850030682.

28603005874560 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 3 + 0 + 0 + 5 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28603005874560² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28603005874497 and 28603005874506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803369719 + ... + 803405321.

Almost surely, 2^{28603005874560} is an apocalyptic number.

28603005874560 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 28603005874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53190164991600).

28603005874560 is an abundant number, since it is smaller than the sum of its proper divisors (77777324108640).

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

28603005874560 is a wasteful number, since it uses less digits than its factorization.

28603005874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46370 (or 46355 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 28603005874560 in words is "twenty-eight trillion, six hundred three billion, five million, eight hundred seventy-four thousand, five hundred sixty".