28387349760 has 1152 divisors, whose sum is σ = 123574026240. Its totient is φ = 5374771200.

The previous prime is 28387349743. The next prime is 28387349789. The reversal of 28387349760 is 6794378382.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28387349760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174155439 + ... + 174155601.

It is an arithmetic number, because the mean of its divisors is an integer number (107269120).

Almost surely, 2^28387349760 is an apocalyptic number.

28387349760 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 28387349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61787013120).

28387349760 is an abundant number, since it is smaller than the sum of its proper divisors (95186676480).

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

28387349760 is a wasteful number, since it uses less digits than its factorization.

28387349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 28387349760 in words is "twenty-eight billion, three hundred eighty-seven million, three hundred forty-nine thousand, seven hundred sixty".