4510028160 has 480 divisors, whose sum is σ = 17728048800. Its totient is φ = 1091819520.

The previous prime is 4510028147. The next prime is 4510028179. The reversal of 4510028160 is 618200154.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 6272281 + ... + 6272999.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^4510028160 is an apocalyptic number.

4510028160 is a gapful number since it is divisible by the number (40) 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 4510028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864024400).

4510028160 is an abundant number, since it is smaller than the sum of its proper divisors (13218020640).

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

4510028160 is a wasteful number, since it uses less digits than its factorization.

4510028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4510028160 is about 67156.7432206178. The cubic root of 4510028160 is about 1652.1890943918.

The spelling of 4510028160 in words is "four billion, five hundred ten million, twenty-eight thousand, one hundred sixty".