46348128 has 72 divisors (see below), whose sum is σ = 137552688. Its totient is φ = 14775552.

The previous prime is 46348123. The next prime is 46348139. The reversal of 46348128 is 82184364.

46348128 is a `hidden beast` number, since 4 + 634 + 8 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 46348092 and 46348101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46348123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3126 + ... + 10122.

It is an arithmetic number, because the mean of its divisors is an integer number (1910454).

Almost surely, 2^46348128 is an apocalyptic number.

46348128 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 46348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68776344).

46348128 is an abundant number, since it is smaller than the sum of its proper divisors (91204560).

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

46348128 is a wasteful number, since it uses less digits than its factorization.

46348128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036 (or 7025 counting only the distinct ones).

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

The square root of 46348128 is about 6807.9459457314. The cubic root of 46348128 is about 359.2063999865.

The spelling of 46348128 in words is "forty-six million, three hundred forty-eight thousand, one hundred twenty-eight".