28461604320 has 288 divisors, whose sum is σ = 98226221184. Its totient is φ = 7504358400.

The previous prime is 28461604291. The next prime is 28461604361. The reversal of 28461604320 is 2340616482.

28461604320 is a `hidden beast` number, since 2 + 8 + 4 + 616 + 0 + 4 + 32 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 85986555 + ... + 85986885.

It is an arithmetic number, because the mean of its divisors is an integer number (341063268).

Almost surely, 2^28461604320 is an apocalyptic number.

28461604320 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 28461604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49113110592).

28461604320 is an abundant number, since it is smaller than the sum of its proper divisors (69764616864).

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

28461604320 is a wasteful number, since it uses less digits than its factorization.

28461604320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

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

The spelling of 28461604320 in words is "twenty-eight billion, four hundred sixty-one million, six hundred four thousand, three hundred twenty".