28337748753888 has 576 divisors, whose sum is σ = 96702915778560. Its totient is φ = 7995494707200.

The previous prime is 28337748753877. The next prime is 28337748753911. The reversal of 28337748753888 is 88835784773382.

28337748753888 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 7 + 7 + 487 + 53 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4413288918 + ... + 4413295338.

It is an arithmetic number, because the mean of its divisors is an integer number (167887006560).

Almost surely, 2^{28337748753888} is an apocalyptic number.

28337748753888 is a gapful number since it is divisible by the number (28) 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 28337748753888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48351457889280).

28337748753888 is an abundant number, since it is smaller than the sum of its proper divisors (68365167024672).

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

28337748753888 is an equidigital number, since it uses as much as digits as its factorization.

28337748753888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453 (or 7433 counting only the distinct ones).

The product of its digits is 12138577920, while the sum is 81.

The spelling of 28337748753888 in words is "twenty-eight trillion, three hundred thirty-seven billion, seven hundred forty-eight million, seven hundred fifty-three thousand, eight hundred eighty-eight".