35728680 has 128 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 8543232.

The previous prime is 35728673. The next prime is 35728681. The reversal of 35728680 is 8682753.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (35728681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57411 + ... + 58029.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^35728680 is an apocalyptic number.

35728680 is a gapful number since it is divisible by the number (30) 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 35728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

35728680 is an abundant number, since it is smaller than the sum of its proper divisors (83013720).

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

35728680 is a wasteful number, since it uses less digits than its factorization.

35728680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 35728680 is about 5977.3472376967. The cubic root of 35728680 is about 329.3611146865.

The spelling of 35728680 in words is "thirty-five million, seven hundred twenty-eight thousand, six hundred eighty".