13828010 has 64 divisors (see below), whose sum is σ = 30862080. Its totient is φ = 4354560.

The previous prime is 13827977. The next prime is 13828039. The reversal of 13828010 is 1082831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49070 + ... + 49350.

It is an arithmetic number, because the mean of its divisors is an integer number (482220).

Almost surely, 2^13828010 is an apocalyptic number.

13828010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13828010 is an abundant number, since it is smaller than the sum of its proper divisors (17034070).

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

13828010 is a wasteful number, since it uses less digits than its factorization.

13828010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 13828010 is about 3718.6032323979. The cubic root of 13828010 is about 240.0232037750.

The spelling of 13828010 in words is "thirteen million, eight hundred twenty-eight thousand, ten".