28653273600 has 960 divisors, whose sum is σ = 115380519936. Its totient is φ = 6131220480.

The previous prime is 28653273553. The next prime is 28653273683. The reversal of 28653273600 is 637235682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 427660767 + ... + 427660833.

Almost surely, 2^28653273600 is an apocalyptic number.

28653273600 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 28653273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57690259968).

28653273600 is an abundant number, since it is smaller than the sum of its proper divisors (86727246336).

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

28653273600 is a wasteful number, since it uses less digits than its factorization.

28653273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

It can be divided in two parts, 28653 and 273600, that added together give a triangular number (302253 = T₇₇₇).

The spelling of 28653273600 in words is "twenty-eight billion, six hundred fifty-three million, two hundred seventy-three thousand, six hundred".