35750728 has 64 divisors (see below), whose sum is σ = 77762160. Its totient is φ = 15261696.

The previous prime is 35750713. The next prime is 35750753. The reversal of 35750728 is 82705753.

It can be written as a sum of positive squares in 8 ways, for example, as 11168964 + 24581764 = 3342^2 + 4958^2 .

It is a super-2 number, since 2×35750728² = 2556229105059968, which contains 22 as substring.

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, 128926 + ... + 129202.

Almost surely, 2^35750728 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 35750728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38881080).

35750728 is an abundant number, since it is smaller than the sum of its proper divisors (42011432).

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

35750728 is a wasteful number, since it uses less digits than its factorization.

35750728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 35750728 is about 5979.1912496591. The cubic root of 35750728 is about 329.4288498191.

The spelling of 35750728 in words is "thirty-five million, seven hundred fifty thousand, seven hundred twenty-eight".