32838420 has 48 divisors (see below), whose sum is σ = 92252160. Its totient is φ = 8727936.

The previous prime is 32838409. The next prime is 32838427. The reversal of 32838420 is 2483823.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32838427) 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, 22266 + ... + 23694.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 2^32838420 is an apocalyptic number.

32838420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32838420 is an abundant number, since it is smaller than the sum of its proper divisors (59413740).

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

32838420 is a wasteful number, since it uses less digits than its factorization.

32838420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 32838420 is about 5730.4816551491. The cubic root of 32838420 is about 320.2290677566.

The spelling of 32838420 in words is "thirty-two million, eight hundred thirty-eight thousand, four hundred twenty".