34202028 has 96 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 8967168.

The previous prime is 34202027. The next prime is 34202057. The reversal of 34202028 is 82020243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34201995 and 34202013.

It is not an unprimeable number, because it can be changed into a prime (34202027) 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 31 ways as a sum of consecutive naturals, for example, 61126 + ... + 61682.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^34202028 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 34202028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

34202028 is an abundant number, since it is smaller than the sum of its proper divisors (64791636).

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

34202028 is a wasteful number, since it uses less digits than its factorization.

34202028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34202028 is about 5848.2499946565. The cubic root of 34202028 is about 324.6015725046.

The spelling of 34202028 in words is "thirty-four million, two hundred two thousand, twenty-eight".