28483348320 has 288 divisors, whose sum is σ = 112652467200. Its totient is φ = 6418621440.

The previous prime is 28483348301. The next prime is 28483348321. The reversal of 28483348320 is 2384338482.

28483348320 is a `hidden beast` number, since 284 + 8 + 3 + 3 + 48 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×28483348320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28483348321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695781 + ... + 735579.

It is an arithmetic number, because the mean of its divisors is an integer number (391154400).

Almost surely, 2^28483348320 is an apocalyptic number.

28483348320 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 28483348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56326233600).

28483348320 is an abundant number, since it is smaller than the sum of its proper divisors (84169118880).

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

28483348320 is a wasteful number, since it uses less digits than its factorization.

28483348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39898 (or 39887 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 28483348320 in words is "twenty-eight billion, four hundred eighty-three million, three hundred forty-eight thousand, three hundred twenty".