35428536 has 256 divisors, whose sum is σ = 122572800. Its totient is φ = 9331200.

The previous prime is 35428513. The next prime is 35428583. The reversal of 35428536 is 63582453.

It is a happy number.

35428536 is a `hidden beast` number, since 3 + 542 + 85 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35428536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957510 + ... + 957546.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^35428536 is an apocalyptic number.

35428536 is a gapful number since it is divisible by the number (36) 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 35428536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

35428536 is an abundant number, since it is smaller than the sum of its proper divisors (87144264).

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

35428536 is a wasteful number, since it uses less digits than its factorization.

35428536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 35428536 is about 5952.1874970468. The cubic root of 35428536 is about 328.4362379112.

The spelling of 35428536 in words is "thirty-five million, four hundred twenty-eight thousand, five hundred thirty-six".