46128960 has 224 divisors, whose sum is σ = 171907200. Its totient is φ = 11612160.

The previous prime is 46128947. The next prime is 46128989. The reversal of 46128960 is 6982164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164020 + ... + 164300.

Almost surely, 2^46128960 is an apocalyptic number.

46128960 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 46128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85953600).

46128960 is an abundant number, since it is smaller than the sum of its proper divisors (125778240).

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

46128960 is a wasteful number, since it uses less digits than its factorization.

46128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46128960 is about 6791.8303865747. The cubic root of 46128960 is about 358.6393079159.

The spelling of 46128960 in words is "forty-six million, one hundred twenty-eight thousand, nine hundred sixty".