46384128 has 132 divisors (see below), whose sum is σ = 153279360. Its totient is φ = 13234176.

The previous prime is 46384099. The next prime is 46384133. The reversal of 46384128 is 82148364.

46384128 is a `hidden beast` number, since 4 + 638 + 4 + 12 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46384092 and 46384101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64153 + ... + 64871.

Almost surely, 2^46384128 is an apocalyptic number.

46384128 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 46384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76639680).

46384128 is an abundant number, since it is smaller than the sum of its proper divisors (106895232).

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

46384128 is a wasteful number, since it uses less digits than its factorization.

46384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 731 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 46384128 is about 6810.5894018066. The cubic root of 46384128 is about 359.2993780946.

The spelling of 46384128 in words is "forty-six million, three hundred eighty-four thousand, one hundred twenty-eight".