35628252 has 48 divisors (see below), whose sum is σ = 92813952. Its totient is φ = 10543680.

The previous prime is 35628251. The next prime is 35628253. The reversal of 35628252 is 25282653.

It is an interprime number because it is at equal distance from previous prime (35628251) and next prime (35628253).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35628251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538 + ... + 8814.

It is an arithmetic number, because the mean of its divisors is an integer number (1933624).

Almost surely, 2^35628252 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 35628252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46406976).

35628252 is an abundant number, since it is smaller than the sum of its proper divisors (57185700).

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

35628252 is a wasteful number, since it uses less digits than its factorization.

35628252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6336 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 35628252 is about 5968.9406095219. The cubic root of 35628252 is about 329.0522300771.

The spelling of 35628252 in words is "thirty-five million, six hundred twenty-eight thousand, two hundred fifty-two".