28017653760 has 480 divisors, whose sum is σ = 106384758480. Its totient is φ = 7028342784.

The previous prime is 28017653737. The next prime is 28017653831. The reversal of 28017653760 is 6735671082.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 14099487 + ... + 14101473.

Almost surely, 2^28017653760 is an apocalyptic number.

28017653760 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 28017653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53192379240).

28017653760 is an abundant number, since it is smaller than the sum of its proper divisors (78367104720).

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

28017653760 is a wasteful number, since it uses less digits than its factorization.

28017653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 28017653760 in words is "twenty-eight billion, seventeen million, six hundred fifty-three thousand, seven hundred sixty".