28471322880 has 1152 divisors, whose sum is σ = 135818403840. Its totient is φ = 5454397440.

The previous prime is 28471322861. The next prime is 28471322897. The reversal of 28471322880 is 8822317482.

28471322880 is a `hidden beast` number, since 284 + 71 + 3 + 228 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×28471322880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34594149 + ... + 34594971.

It is an arithmetic number, because the mean of its divisors is an integer number (117897920).

Almost surely, 2^28471322880 is an apocalyptic number.

28471322880 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 28471322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67909201920).

28471322880 is an abundant number, since it is smaller than the sum of its proper divisors (107347080960).

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

28471322880 is a wasteful number, since it uses less digits than its factorization.

28471322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28471322880 in words is "twenty-eight billion, four hundred seventy-one million, three hundred twenty-two thousand, eight hundred eighty".