46028160 has 192 divisors, whose sum is σ = 162779760. Its totient is φ = 11980800.

The previous prime is 46028159. The next prime is 46028167. The reversal of 46028160 is 6182064.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46028167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351295 + ... + 351425.

Almost surely, 2^46028160 is an apocalyptic number.

46028160 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 46028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389880).

46028160 is an abundant number, since it is smaller than the sum of its proper divisors (116751600).

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

46028160 is a wasteful number, since it uses less digits than its factorization.

46028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46028160 is about 6784.4056482495. The cubic root of 46028160 is about 358.3778871348.

The spelling of 46028160 in words is "forty-six million, twenty-eight thousand, one hundred sixty".