46096128 has 252 divisors, whose sum is σ = 156386440. Its totient is φ = 13436928.

The previous prime is 46096091. The next prime is 46096133. The reversal of 46096128 is 82169064.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 46096092 and 46096101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2426103 + ... + 2426121.

Almost surely, 2^46096128 is an apocalyptic number.

46096128 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 46096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78193220).

46096128 is an abundant number, since it is smaller than the sum of its proper divisors (110290312).

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

46096128 is an equidigital number, since it uses as much as digits as its factorization.

46096128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

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

The square root of 46096128 is about 6789.4129348567. The cubic root of 46096128 is about 358.5542012901.

The spelling of 46096128 in words is "forty-six million, ninety-six thousand, one hundred twenty-eight".