28336988160 has 784 divisors, whose sum is σ = 111307543704. Its totient is φ = 6879707136.

The previous prime is 28336988159. The next prime is 28336988161. The reversal of 28336988160 is 6188963382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28336988159) and next prime (28336988161).

It can be written as a sum of positive squares in 4 ways, for example, as 18635526144 + 9701462016 = 136512^2 + 98496^2 .

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 28336988097 and 28336988106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28336988161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 388177884 + ... + 388177956.

Almost surely, 2^28336988160 is an apocalyptic number.

28336988160 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 28336988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55653771852).

28336988160 is an abundant number, since it is smaller than the sum of its proper divisors (82970555544).

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

28336988160 is an frugal number, since it uses more digits than its factorization.

28336988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 28336988160 in words is "twenty-eight billion, three hundred thirty-six million, nine hundred eighty-eight thousand, one hundred sixty".