28872903360 has 336 divisors, whose sum is σ = 111300182784. Its totient is φ = 6210895872.

The previous prime is 28872903313. The next prime is 28872903361. The reversal of 28872903360 is 6330927882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28872903361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1934647 + ... + 1949513.

It is an arithmetic number, because the mean of its divisors is an integer number (331250544).

Almost surely, 2^28872903360 is an apocalyptic number.

28872903360 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 28872903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55650091392).

28872903360 is an abundant number, since it is smaller than the sum of its proper divisors (82427279424).

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

28872903360 is a wasteful number, since it uses less digits than its factorization.

28872903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14928 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 28872903360 in words is "twenty-eight billion, eight hundred seventy-two million, nine hundred three thousand, three hundred sixty".