28464906240 has 456 divisors, whose sum is σ = 104689628160. Its totient is φ = 7134511104.

The previous prime is 28464906229. The next prime is 28464906257. The reversal of 28464906240 is 4260946482.

28464906240 is a `hidden beast` number, since 2 + 8 + 464 + 90 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (456).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224133057 + ... + 224133183.

Almost surely, 2^28464906240 is an apocalyptic number.

28464906240 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 28464906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344814080).

28464906240 is an abundant number, since it is smaller than the sum of its proper divisors (76224721920).

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

28464906240 is an equidigital number, since it uses as much as digits as its factorization.

28464906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28464906240 in words is "twenty-eight billion, four hundred sixty-four million, nine hundred six thousand, two hundred forty".