202820128 has 48 divisors (see below), whose sum is σ = 461885760. Its totient is φ = 85867776.

The previous prime is 202820119. The next prime is 202820129. The reversal of 202820128 is 821028202.

It is a super-2 number, since 2×202820128² = 82272008643872768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202820129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13138 + ... + 24046.

It is an arithmetic number, because the mean of its divisors is an integer number (9622620).

Almost surely, 2^202820128 is an apocalyptic number.

202820128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202820128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230942880).

202820128 is an abundant number, since it is smaller than the sum of its proper divisors (259065632).

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

202820128 is a wasteful number, since it uses less digits than its factorization.

202820128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 11001 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 202820128 is about 14241.4931801409. The cubic root of 202820128 is about 587.5394298570.

The spelling of 202820128 in words is "two hundred two million, eight hundred twenty thousand, one hundred twenty-eight".