10971828 has 96 divisors (see below), whose sum is σ = 33976320. Its totient is φ = 2993760.

The previous prime is 10971791. The next prime is 10971839. The reversal of 10971828 is 82817901.

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 = 10971792 and 10971801.

It is a congruent number.

It is an unprimeable number.

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, 17073 + ... + 17703.

It is an arithmetic number, because the mean of its divisors is an integer number (353920).

Almost surely, 2^10971828 is an apocalyptic number.

10971828 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 10971828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988160).

10971828 is an abundant number, since it is smaller than the sum of its proper divisors (23004492).

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

10971828 is a wasteful number, since it uses less digits than its factorization.

10971828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 10971828 is about 3312.3749787728. The cubic root of 10971828 is about 222.2079862362.

It can be divided in two parts, 109718 and 28, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 10971828 in words is "ten million, nine hundred seventy-one thousand, eight hundred twenty-eight".