20435328 has 128 divisors (see below), whose sum is σ = 61893600. Its totient is φ = 6718464.

The previous prime is 20435287. The next prime is 20435341. The reversal of 20435328 is 82353402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 279900 + ... + 279972.

Almost surely, 2^20435328 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 20435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30946800).

20435328 is an abundant number, since it is smaller than the sum of its proper divisors (41458272).

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

20435328 is an frugal number, since it uses more digits than its factorization.

20435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

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

The square root of 20435328 is about 4520.5450998746. The cubic root of 20435328 is about 273.3970794543.

The spelling of 20435328 in words is "twenty million, four hundred thirty-five thousand, three hundred twenty-eight".