101782728 has 48 divisors (see below), whose sum is σ = 287651520. Its totient is φ = 32451936.

The previous prime is 101782727. The next prime is 101782741. The reversal of 101782728 is 827287101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101782692 and 101782701.

It is not an unprimeable number, because it can be changed into a prime (101782727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29076 + ... + 32387.

It is an arithmetic number, because the mean of its divisors is an integer number (5992740).

Almost surely, 2^101782728 is an apocalyptic number.

101782728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101782728 is an abundant number, since it is smaller than the sum of its proper divisors (185868792).

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

101782728 is a wasteful number, since it uses less digits than its factorization.

101782728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61498 (or 61491 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 101782728 is about 10088.7426372170. The cubic root of 101782728 is about 466.9008833357.

The spelling of 101782728 in words is "one hundred one million, seven hundred eighty-two thousand, seven hundred twenty-eight".