35328096 has 96 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 11387520.

The previous prime is 35328077. The next prime is 35328103. The reversal of 35328096 is 69082353.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35328096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26125 + ... + 27443.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^35328096 is an apocalyptic number.

35328096 is a gapful number since it is divisible by the number (36) 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 35328096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

35328096 is an abundant number, since it is smaller than the sum of its proper divisors (71116704).

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

35328096 is a wasteful number, since it uses less digits than its factorization.

35328096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 35328096 is about 5943.7442744452. The cubic root of 35328096 is about 328.1255715908.

It can be divided in two parts, 3532 and 8096, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 35328096 in words is "thirty-five million, three hundred twenty-eight thousand, ninety-six".