28228515840 has 1152 divisors, whose sum is σ = 122653440000. Its totient is φ = 5982584832.

The previous prime is 28228515823. The next prime is 28228515863. The reversal of 28228515840 is 4851582282.

28228515840 is a `hidden beast` number, since 282 + 285 + 1 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 600606697 + ... + 600606743.

It is an arithmetic number, because the mean of its divisors is an integer number (106470000).

Almost surely, 2^28228515840 is an apocalyptic number.

28228515840 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 28228515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720000).

28228515840 is an abundant number, since it is smaller than the sum of its proper divisors (94424924160).

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

28228515840 is a wasteful number, since it uses less digits than its factorization.

28228515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 28228515840 in words is "twenty-eight billion, two hundred twenty-eight million, five hundred fifteen thousand, eight hundred forty".