28263548160 has 864 divisors, whose sum is σ = 111064746240. Its totient is φ = 6788136960.

The previous prime is 28263548147. The next prime is 28263548233. The reversal of 28263548160 is 6184536282.

28263548160 is a `hidden beast` number, since 2 + 8 + 2 + 635 + 4 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 763879662 + ... + 763879698.

It is an arithmetic number, because the mean of its divisors is an integer number (128547160).

Almost surely, 2^28263548160 is an apocalyptic number.

28263548160 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 28263548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55532373120).

28263548160 is an abundant number, since it is smaller than the sum of its proper divisors (82801198080).

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

28263548160 is a wasteful number, since it uses less digits than its factorization.

28263548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28263548160 in words is "twenty-eight billion, two hundred sixty-three million, five hundred forty-eight thousand, one hundred sixty".