28280417760 has 672 divisors, whose sum is σ = 120574863360. Its totient is φ = 6120520704.

The previous prime is 28280417749. The next prime is 28280417797. The reversal of 28280417760 is 6771408282.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15512209 + ... + 15514031.

It is an arithmetic number, because the mean of its divisors is an integer number (179426880).

Almost surely, 2^28280417760 is an apocalyptic number.

28280417760 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 28280417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60287431680).

28280417760 is an abundant number, since it is smaller than the sum of its proper divisors (92294445600).

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

28280417760 is a wasteful number, since it uses less digits than its factorization.

28280417760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

It can be divided in two parts, 28280 and 417760, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 28280417760 in words is "twenty-eight billion, two hundred eighty million, four hundred seventeen thousand, seven hundred sixty".