28785519840 has 768 divisors, whose sum is σ = 120185856000. Its totient is φ = 5610332160.

The previous prime is 28785519817. The next prime is 28785519863. The reversal of 28785519840 is 4891558782.

It is an interprime number because it is at equal distance from previous prime (28785519817) and next prime (28785519863).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125700846 + ... + 125701074.

It is an arithmetic number, because the mean of its divisors is an integer number (156492000).

Almost surely, 2^28785519840 is an apocalyptic number.

28785519840 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 28785519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60092928000).

28785519840 is an abundant number, since it is smaller than the sum of its proper divisors (91400336160).

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

28785519840 is a wasteful number, since it uses less digits than its factorization.

28785519840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 28785519840 in words is "twenty-eight billion, seven hundred eighty-five million, five hundred nineteen thousand, eight hundred forty".