202828416 has 128 divisors (see below), whose sum is σ = 626328960. Its totient is φ = 56954880.

The previous prime is 202828397. The next prime is 202828433. The reversal of 202828416 is 614828202.

It is a happy number.

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

It is a super-2 number, since 2×202828416² = 82278732674138112, which contains 22 as substring.

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, 163350 + ... + 164586.

It is an arithmetic number, because the mean of its divisors is an integer number (4893195).

Almost surely, 2^202828416 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 202828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313164480).

202828416 is an abundant number, since it is smaller than the sum of its proper divisors (423500544).

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

202828416 is a wasteful number, since it uses less digits than its factorization.

202828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 202828416 is about 14241.7841578926. The cubic root of 202828416 is about 587.5474327782.

The spelling of 202828416 in words is "two hundred two million, eight hundred twenty-eight thousand, four hundred sixteen".