35630028 has 72 divisors (see below), whose sum is σ = 108999072. Its totient is φ = 9580032.

The previous prime is 35630003. The next prime is 35630057. The reversal of 35630028 is 82003653.

35630028 is a `hidden beast` number, since 3 + 5 + 630 + 0 + 28 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35629983 and 35630010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126 + ... + 8442.

It is an arithmetic number, because the mean of its divisors is an integer number (1513876).

Almost surely, 2^35630028 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 35630028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54499536).

35630028 is an abundant number, since it is smaller than the sum of its proper divisors (73369044).

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

35630028 is a wasteful number, since it uses less digits than its factorization.

35630028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 35630028 is about 5969.0893777862. The cubic root of 35630028 is about 329.0576975271.

The spelling of 35630028 in words is "thirty-five million, six hundred thirty thousand, twenty-eight".