35528328 has 128 divisors (see below), whose sum is σ = 113472000. Its totient is φ = 10186560.

The previous prime is 35528323. The next prime is 35528333. The reversal of 35528328 is 82382553.

35528328 is a `hidden beast` number, since 3 + 552 + 83 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (35528323) and next prime (35528333).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35528292 and 35528301.

It is not an unprimeable number, because it can be changed into a prime (35528323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44751 + ... + 45537.

It is an arithmetic number, because the mean of its divisors is an integer number (886500).

Almost surely, 2^35528328 is an apocalyptic number.

35528328 is a gapful number since it is divisible by the number (38) 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 35528328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56736000).

35528328 is an abundant number, since it is smaller than the sum of its proper divisors (77943672).

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

35528328 is a wasteful number, since it uses less digits than its factorization.

35528328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 822 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 35528328 is about 5960.5644028062. The cubic root of 35528328 is about 328.7443189850.

The spelling of 35528328 in words is "thirty-five million, five hundred twenty-eight thousand, three hundred twenty-eight".