5128032 has 96 divisors (see below), whose sum is σ = 16595712. Its totient is φ = 1350144.

The previous prime is 5128027. The next prime is 5128037. The reversal of 5128032 is 2308215.

5128032 = T₁₀₆₃ + T₁₀₆₄ + ... + T₁₀₇₁.

5128032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5128027) and next prime (5128037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8443 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (172872).

Almost surely, 2^5128032 is an apocalyptic number.

5128032 is a gapful number since it is divisible by the number (52) 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 5128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297856).

5128032 is an abundant number, since it is smaller than the sum of its proper divisors (11467680).

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

5128032 is a wasteful number, since it uses less digits than its factorization.

5128032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5128032 is about 2264.5158422939. The cubic root of 5128032 is about 172.4448552991. Note that the first 3 decimals are identical.

The spelling of 5128032 in words is "five million, one hundred twenty-eight thousand, thirty-two".