28446435360 has 576 divisors, whose sum is σ = 116096827392. Its totient is φ = 6443006976.

The previous prime is 28446435343. The next prime is 28446435431. The reversal of 28446435360 is 6353464482.

28446435360 is a `hidden beast` number, since 2 + 84 + 464 + 3 + 53 + 60 = 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 95 ways as a sum of consecutive naturals, for example, 34563909 + ... + 34564731.

It is an arithmetic number, because the mean of its divisors is an integer number (201556992).

Almost surely, 2^28446435360 is an apocalyptic number.

28446435360 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 28446435360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58048413696).

28446435360 is an abundant number, since it is smaller than the sum of its proper divisors (87650392032).

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

28446435360 is a wasteful number, since it uses less digits than its factorization.

28446435360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 28446435360 in words is "twenty-eight billion, four hundred forty-six million, four hundred thirty-five thousand, three hundred sixty".