93641328 has 120 divisors (see below), whose sum is σ = 295266816. Its totient is φ = 27446400.

The previous prime is 93641309. The next prime is 93641333. The reversal of 93641328 is 82314639.

93641328 is a `hidden beast` number, since 9 + 3 + 641 + 3 + 2 + 8 = 666.

It is a super-3 number, since 3×93641328³ (a number of 25 digits) contains 333 as substring.

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 = 93641292 and 93641301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48151 + ... + 50057.

Almost surely, 2^93641328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93641328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147633408).

93641328 is an abundant number, since it is smaller than the sum of its proper divisors (201625488).

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

93641328 is a wasteful number, since it uses less digits than its factorization.

93641328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1954 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 93641328 is about 9676.8449403718. The cubic root of 93641328 is about 454.1045513382.

The spelling of 93641328 in words is "ninety-three million, six hundred forty-one thousand, three hundred twenty-eight".