4560146928 has 120 divisors (see below), whose sum is σ = 12993210048. Its totient is φ = 1492770816.

The previous prime is 4560146863. The next prime is 4560146933. The reversal of 4560146928 is 8296410654.

4560146928 is a `hidden beast` number, since 4 + 560 + 1 + 4 + 69 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912425 + ... + 1914807.

Almost surely, 2^4560146928 is an apocalyptic number.

4560146928 is a gapful number since it is divisible by the number (48) 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 4560146928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496605024).

4560146928 is an abundant number, since it is smaller than the sum of its proper divisors (8433063120).

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

4560146928 is a wasteful number, since it uses less digits than its factorization.

4560146928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4560146928 is about 67528.8599637222. The cubic root of 4560146928 is about 1658.2866785681.

It can be divided in two parts, 45601 and 46928, that added together give a palindrome (92529).

The spelling of 4560146928 in words is "four billion, five hundred sixty million, one hundred forty-six thousand, nine hundred twenty-eight".