35728700 has 72 divisors (see below), whose sum is σ = 90744192. Its totient is φ = 11954880.

The previous prime is 35728697. The next prime is 35728703. The reversal of 35728700 is 782753.

It is an interprime number because it is at equal distance from previous prime (35728697) and next prime (35728703).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35728703) 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 23 ways as a sum of consecutive naturals, for example, 29507 + ... + 30693.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^35728700 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 35728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

35728700 is an abundant number, since it is smaller than the sum of its proper divisors (55015492).

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

35728700 is a wasteful number, since it uses less digits than its factorization.

35728700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 35728700 is about 5977.3489106794. The cubic root of 35728700 is about 329.3611761425.

The spelling of 35728700 in words is "thirty-five million, seven hundred twenty-eight thousand, seven hundred".