35728080 has 40 divisors (see below), whose sum is σ = 110757792. Its totient is φ = 9527424.

The previous prime is 35728073. The next prime is 35728081. The reversal of 35728080 is 8082753.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35728081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74194 + ... + 74673.

Almost surely, 2^35728080 is an apocalyptic number.

35728080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35728080 is an abundant number, since it is smaller than the sum of its proper divisors (75029712).

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

35728080 is a wasteful number, since it uses less digits than its factorization.

35728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148883 (or 148877 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 35728080 is about 5977.2970479975. The cubic root of 35728080 is about 329.3592709970.

The spelling of 35728080 in words is "thirty-five million, seven hundred twenty-eight thousand, eighty".