35728896 has 80 divisors (see below), whose sum is σ = 108814464. Its totient is φ = 10205184.

The previous prime is 35728879. The next prime is 35728907. The reversal of 35728896 is 69882753.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9091 + ... + 12413.

Almost surely, 2^35728896 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 35728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54407232).

35728896 is an abundant number, since it is smaller than the sum of its proper divisors (73085568).

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

35728896 is an equidigital number, since it uses as much as digits as its factorization.

35728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3335 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 35728896 is about 5977.3653058852. The cubic root of 35728896 is about 329.3617784097.

The spelling of 35728896 in words is "thirty-five million, seven hundred twenty-eight thousand, eight hundred ninety-six".