1007328 has 48 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 287616.

The previous prime is 1007317. The next prime is 1007339. The reversal of 1007328 is 8237001.

It is an interprime number because it is at equal distance from previous prime (1007317) and next prime (1007339).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2^1007328 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 1007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1007328 is an abundant number, since it is smaller than the sum of its proper divisors (2016672).

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

1007328 is a wasteful number, since it uses less digits than its factorization.

1007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1007328 is about 1003.6573120343. The cubic root of 1007328 is about 100.2436724219.

It can be divided in two parts, 10073 and 28, that added together give a palindrome (10101).

The spelling of 1007328 in words is "one million, seven thousand, three hundred twenty-eight".