28492738560 has 1248 divisors, whose sum is σ = 123649763328. Its totient is φ = 5969018880.

The previous prime is 28492738553. The next prime is 28492738597. The reversal of 28492738560 is 6583729482.

28492738560 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 2 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 28492738497 and 28492738506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606228457 + ... + 606228503.

It is an arithmetic number, because the mean of its divisors is an integer number (99078336).

Almost surely, 2^28492738560 is an apocalyptic number.

28492738560 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 28492738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61824881664).

28492738560 is an abundant number, since it is smaller than the sum of its proper divisors (95157024768).

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

28492738560 is a wasteful number, since it uses less digits than its factorization.

28492738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28492738560 in words is "twenty-eight billion, four hundred ninety-two million, seven hundred thirty-eight thousand, five hundred sixty".