35428128 has 48 divisors (see below), whose sum is σ = 93895200. Its totient is φ = 11695616.

The previous prime is 35428123. The next prime is 35428147. The reversal of 35428128 is 82182453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (35428121) 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, 8548 + ... + 11996.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 2^35428128 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 35428128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46947600).

35428128 is an abundant number, since it is smaller than the sum of its proper divisors (58467072).

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

35428128 is a wasteful number, since it uses less digits than its factorization.

35428128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3561 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 35428128 is about 5952.1532238342. The cubic root of 35428128 is about 328.4349771338.

It can be divided in two parts, 354 and 28128, that added together give a palindrome (28482).

The spelling of 35428128 in words is "thirty-five million, four hundred twenty-eight thousand, one hundred twenty-eight".