370328 has 32 divisors (see below), whose sum is σ = 842400. Its totient is φ = 148992.

The previous prime is 370261. The next prime is 370373. The reversal of 370328 is 823073.

370328 = 227² + 228² + ... + 233².

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370328.

It is an unprimeable number.

370328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2³⁷⁰³²⁸ 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 370328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

370328 is an abundant number, since it is smaller than the sum of its proper divisors (472072).

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

370328 is a wasteful number, since it uses less digits than its factorization.

370328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 370328 is about 608.5458076431. The cubic root of 370328 is about 71.8117510374.

It can be divided in two parts, 3703 and 28, that multiplied together give a square (103684 = 322²).

The spelling of 370328 in words is "three hundred seventy thousand, three hundred twenty-eight".