28049690880 has 720 divisors, whose sum is σ = 109515067200. Its totient is φ = 6827950080.

The previous prime is 28049690849. The next prime is 28049690881. The reversal of 28049690880 is 8809694082.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (28049690881) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 57127435 + ... + 57127925.

It is an arithmetic number, because the mean of its divisors is an integer number (152104260).

Almost surely, 2^28049690880 is an apocalyptic number.

28049690880 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 28049690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54757533600).

28049690880 is an abundant number, since it is smaller than the sum of its proper divisors (81465376320).

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

28049690880 is a wasteful number, since it uses less digits than its factorization.

28049690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 28049690880 in words is "twenty-eight billion, forty-nine million, six hundred ninety thousand, eight hundred eighty".