35420328 has 80 divisors (see below), whose sum is σ = 101407680. Its totient is φ = 11545632.

The previous prime is 35420327. The next prime is 35420353. The reversal of 35420328 is 82302453.

It is a super-3 number, since 3×35420328³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (35420323) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 29875 + ... + 31037.

It is an arithmetic number, because the mean of its divisors is an integer number (1267596).

Almost surely, 2^35420328 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 35420328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50703840).

35420328 is an abundant number, since it is smaller than the sum of its proper divisors (65987352).

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

35420328 is a wasteful number, since it uses less digits than its factorization.

35420328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 35420328 is about 5951.4979626981. The cubic root of 35420328 is about 328.4108721735.

The spelling of 35420328 in words is "thirty-five million, four hundred twenty thousand, three hundred twenty-eight".