10972728 has 96 divisors (see below), whose sum is σ = 33742800. Its totient is φ = 3193344.

The previous prime is 10972727. The next prime is 10972733. The reversal of 10972728 is 82727901.

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 = 10972692 and 10972701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972723) 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 23 ways as a sum of consecutive naturals, for example, 17476 + ... + 18092.

Almost surely, 2^10972728 is an apocalyptic number.

10972728 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 10972728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871400).

10972728 is an abundant number, since it is smaller than the sum of its proper divisors (22770072).

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

10972728 is a wasteful number, since it uses less digits than its factorization.

10972728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10972728 is about 3312.5108301710. The cubic root of 10972728 is about 222.2140618485.

The spelling of 10972728 in words is "ten million, nine hundred seventy-two thousand, seven hundred twenty-eight".