28360886400 has 1920 divisors, whose sum is σ = 137736720000. Its totient is φ = 5689958400.

The previous prime is 28360886381. The next prime is 28360886419. The reversal of 28360886400 is 468806382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28360886381) and next prime (28360886419).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×28360886400³ (a number of 32 digits) contains 333 as substring.

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 239 ways as a sum of consecutive naturals, for example, 977961586 + ... + 977961614.

It is an arithmetic number, because the mean of its divisors is an integer number (71737875).

Almost surely, 2^28360886400 is an apocalyptic number.

28360886400 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 28360886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68868360000).

28360886400 is an abundant number, since it is smaller than the sum of its proper divisors (109375833600).

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

28360886400 is a wasteful number, since it uses less digits than its factorization.

28360886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28360886400 in words is "twenty-eight billion, three hundred sixty million, eight hundred eighty-six thousand, four hundred".