28270464000 has 352 divisors, whose sum is σ = 95278450176. Its totient is φ = 7439564800.

The previous prime is 28270463989. The next prime is 28270464011. The reversal of 28270464000 is 46407282.

It is an interprime number because it is at equal distance from previous prime (28270463989) and next prime (28270464011).

It is a super-3 number, since 3×28270464000³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31871557 + ... + 31872443.

Almost surely, 2^28270464000 is an apocalyptic number.

28270464000 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 28270464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47639225088).

28270464000 is an abundant number, since it is smaller than the sum of its proper divisors (67007986176).

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

28270464000 is an equidigital number, since it uses as much as digits as its factorization.

28270464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 28270464000 in words is "twenty-eight billion, two hundred seventy million, four hundred sixty-four thousand".