28471927680 has 640 divisors, whose sum is σ = 119999784960. Its totient is φ = 6295449600.

The previous prime is 28471927669. The next prime is 28471927691. The reversal of 28471927680 is 8672917482.

It is a happy number.

28471927680 is a `hidden beast` number, since 2 + 8 + 471 + 92 + 7 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28471927669) and next prime (28471927691).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11248015 + ... + 11250545.

It is an arithmetic number, because the mean of its divisors is an integer number (187499664).

Almost surely, 2^28471927680 is an apocalyptic number.

28471927680 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 28471927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59999892480).

28471927680 is an abundant number, since it is smaller than the sum of its proper divisors (91527857280).

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

28471927680 is a wasteful number, since it uses less digits than its factorization.

28471927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 28471927680 in words is "twenty-eight billion, four hundred seventy-one million, nine hundred twenty-seven thousand, six hundred eighty".