28088417280 has 1056 divisors, whose sum is σ = 120435130368. Its totient is φ = 5449973760.

The previous prime is 28088417257. The next prime is 28088417317. The reversal of 28088417280 is 8271488082.

It is a tau number, because it is divible by the number of its divisors (1056).

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

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 95 ways as a sum of consecutive naturals, for example, 221168577 + ... + 221168703.

Almost surely, 2^28088417280 is an apocalyptic number.

28088417280 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 28088417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60217565184).

28088417280 is an abundant number, since it is smaller than the sum of its proper divisors (92346713088).

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

28088417280 is a wasteful number, since it uses less digits than its factorization.

28088417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 28088417280 in words is "twenty-eight billion, eighty-eight million, four hundred seventeen thousand, two hundred eighty".