35882028 has 120 divisors (see below), whose sum is σ = 115544352. Its totient is φ = 9455616.

The previous prime is 35882023. The next prime is 35882057. The reversal of 35882028 is 82028853.

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

It is a junction number, because it is equal to n+sod(n) for n = 35881983 and 35882001.

It is not an unprimeable number, because it can be changed into a prime (35882023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28876 + ... + 30092.

Almost surely, 2^35882028 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 35882028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57772176).

35882028 is an abundant number, since it is smaller than the sum of its proper divisors (79662324).

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

35882028 is a wasteful number, since it uses less digits than its factorization.

35882028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 35882028 is about 5990.1609327296. The cubic root of 35882028 is about 329.8316496674.

The spelling of 35882028 in words is "thirty-five million, eight hundred eighty-two thousand, twenty-eight".