46535328 has 144 divisors (see below), whose sum is σ = 155203776. Its totient is φ = 12948480.

The previous prime is 46535327. The next prime is 46535339. The reversal of 46535328 is 82353564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 46535292 and 46535301.

It is not an unprimeable number, because it can be changed into a prime (46535323) 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, 82375 + ... + 82937.

It is an arithmetic number, because the mean of its divisors is an integer number (1077804).

Almost surely, 2^46535328 is an apocalyptic number.

46535328 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 46535328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77601888).

46535328 is an abundant number, since it is smaller than the sum of its proper divisors (108668448).

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

46535328 is a wasteful number, since it uses less digits than its factorization.

46535328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 616 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 46535328 is about 6821.6807313154. The cubic root of 46535328 is about 359.6893616618.

The spelling of 46535328 in words is "forty-six million, five hundred thirty-five thousand, three hundred twenty-eight".