35369628 has 48 divisors (see below), whose sum is σ = 95208960. Its totient is φ = 10010304.

The previous prime is 35369617. The next prime is 35369629. The reversal of 35369628 is 82696353.

35369628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35369628³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 35369628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35369629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7225 + ... + 11087.

It is an arithmetic number, because the mean of its divisors is an integer number (1983520).

Almost surely, 2^35369628 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 35369628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47604480).

35369628 is an abundant number, since it is smaller than the sum of its proper divisors (59839332).

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

35369628 is a wasteful number, since it uses less digits than its factorization.

35369628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3984 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 35369628 is about 5947.2370055346. The cubic root of 35369628 is about 328.2541036091.

The spelling of 35369628 in words is "thirty-five million, three hundred sixty-nine thousand, six hundred twenty-eight".