28328575504320 has 2688 divisors, whose sum is σ = 130795565322240. Its totient is φ = 5610066739200.

The previous prime is 28328575504303. The next prime is 28328575504349. The reversal of 28328575504320 is 2340557582382.

28328575504320 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 8 + 57 + 550 + 4 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67288777710 + ... + 67288778130.

It is an arithmetic number, because the mean of its divisors is an integer number (48659064480).

Almost surely, 2^{28328575504320} is an apocalyptic number.

28328575504320 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 28328575504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65397782661120).

28328575504320 is an abundant number, since it is smaller than the sum of its proper divisors (102466989817920).

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

28328575504320 is a wasteful number, since it uses less digits than its factorization.

28328575504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 28328575504320 in words is "twenty-eight trillion, three hundred twenty-eight billion, five hundred seventy-five million, five hundred four thousand, three hundred twenty".