4007328 has 96 divisors (see below), whose sum is σ = 11995200. Its totient is φ = 1168128.

The previous prime is 4007321. The next prime is 4007351. The reversal of 4007328 is 8237004.

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 (24).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4007298 and 4007307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007321) 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, 210903 + ... + 210921.

It is an arithmetic number, because the mean of its divisors is an integer number (124950).

Almost surely, 2^4007328 is an apocalyptic number.

4007328 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 4007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997600).

4007328 is an abundant number, since it is smaller than the sum of its proper divisors (7987872).

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

4007328 is a wasteful number, since it uses less digits than its factorization.

4007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4007328 is about 2001.8311617117. The cubic root of 4007328 is about 158.8369833515.

The spelling of 4007328 in words is "four million, seven thousand, three hundred twenty-eight".