28103473006560 has 3456 divisors, whose sum is σ = 126487775232000. Its totient is φ = 5637197389824.

The previous prime is 28103473006529. The next prime is 28103473006591. The reversal of 28103473006560 is 6560037430182.

28103473006560 is a `hidden beast` number, since 2 + 8 + 10 + 3 + 4 + 73 + 0 + 0 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (28103473006529) and next prime (28103473006591).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 202183258971 + ... + 202183259109.

It is an arithmetic number, because the mean of its divisors is an integer number (36599472000).

Almost surely, 2^{28103473006560} is an apocalyptic number.

28103473006560 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 28103473006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63243887616000).

28103473006560 is an abundant number, since it is smaller than the sum of its proper divisors (98384302225440).

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

28103473006560 is a wasteful number, since it uses less digits than its factorization.

28103473006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 28103473006560 in words is "twenty-eight trillion, one hundred three billion, four hundred seventy-three million, six thousand, five hundred sixty".