28030648320 has 960 divisors, whose sum is σ = 113242752000. Its totient is φ = 6539968512.

The previous prime is 28030648319. The next prime is 28030648361. The reversal of 28030648320 is 2384603082.

28030648320 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 0 + 648 + 3 + 2 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966574066 + ... + 966574094.

It is an arithmetic number, because the mean of its divisors is an integer number (117961200).

Almost surely, 2^28030648320 is an apocalyptic number.

28030648320 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 28030648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56621376000).

28030648320 is an abundant number, since it is smaller than the sum of its proper divisors (85212103680).

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

28030648320 is a wasteful number, since it uses less digits than its factorization.

28030648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28030648320 in words is "twenty-eight billion, thirty million, six hundred forty-eight thousand, three hundred twenty".