5952128 has 96 divisors (see below), whose sum is σ = 15058260. Its totient is φ = 2322432.

The previous prime is 5952113. The next prime is 5952131. The reversal of 5952128 is 8212595.

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 153664 = 2408^2 + 392^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5952094 and 5952103.

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, 81500 + ... + 81572.

Almost surely, 2^5952128 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 5952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529130).

5952128 is an abundant number, since it is smaller than the sum of its proper divisors (9106132).

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

5952128 is a wasteful number, since it uses less digits than its factorization.

5952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The square root of 5952128 is about 2439.6983420087. The cubic root of 5952128 is about 181.2274949465.

The spelling of 5952128 in words is "five million, nine hundred fifty-two thousand, one hundred twenty-eight".