5936128 has 88 divisors (see below), whose sum is σ = 14148864. Its totient is φ = 2457600.

The previous prime is 5936087. The next prime is 5936137. The reversal of 5936128 is 8216395.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 5936093 and 5936102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191473 + ... + 191503.

Almost surely, 2^5936128 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 5936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074432).

5936128 is an abundant number, since it is smaller than the sum of its proper divisors (8212736).

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

5936128 is a wasteful number, since it uses less digits than its factorization.

5936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 5936128 is about 2436.4170414771. The cubic root of 5936128 is about 181.0649624879.

The spelling of 5936128 in words is "five million, nine hundred thirty-six thousand, one hundred twenty-eight".