28271436480 has 896 divisors, whose sum is σ = 119969280000. Its totient is φ = 6207860736.

The previous prime is 28271436469. The next prime is 28271436499. The reversal of 28271436480 is 8463417282.

It is a happy number.

28271436480 is a `hidden beast` number, since 2 + 8 + 27 + 143 + 6 + 480 = 666.

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, 142067421 + ... + 142067619.

Almost surely, 2^28271436480 is an apocalyptic number.

28271436480 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 28271436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984640000).

28271436480 is an abundant number, since it is smaller than the sum of its proper divisors (91697843520).

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

28271436480 is an equidigital number, since it uses as much as digits as its factorization.

28271436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28271436480 in words is "twenty-eight billion, two hundred seventy-one million, four hundred thirty-six thousand, four hundred eighty".