101332728 has 128 divisors (see below), whose sum is σ = 332928000. Its totient is φ = 27941760.

The previous prime is 101332727. The next prime is 101332741. The reversal of 101332728 is 827233101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42693 + ... + 45003.

It is an arithmetic number, because the mean of its divisors is an integer number (2601000).

Almost surely, 2^101332728 is an apocalyptic number.

101332728 is a gapful number since it is divisible by the number (18) 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 101332728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166464000).

101332728 is an abundant number, since it is smaller than the sum of its proper divisors (231595272).

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

101332728 is a wasteful number, since it uses less digits than its factorization.

101332728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 101332728 is about 10066.4158467649. The cubic root of 101332728 is about 466.2117821410.

Adding to 101332728 its reverse (827233101), we get a palindrome (928565829).

The spelling of 101332728 in words is "one hundred one million, three hundred thirty-two thousand, seven hundred twenty-eight".