101828944 has 40 divisors (see below), whose sum is σ = 226953728. Its totient is φ = 43355520.

The previous prime is 101828917. The next prime is 101828957. The reversal of 101828944 is 449828101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14689 + ... + 20479.

Almost surely, 2^101828944 is an apocalyptic number.

101828944 is a gapful number since it is divisible by the number (14) 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 101828944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113476864).

101828944 is an abundant number, since it is smaller than the sum of its proper divisors (125124784).

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

101828944 is a wasteful number, since it uses less digits than its factorization.

101828944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 101828944 is about 10091.0328510019. The cubic root of 101828944 is about 466.9715404648.

The spelling of 101828944 in words is "one hundred one million, eight hundred twenty-eight thousand, nine hundred forty-four".