10974128 has 40 divisors (see below), whose sum is σ = 24212736. Its totient is φ = 4769600.

The previous prime is 10974121. The next prime is 10974133. The reversal of 10974128 is 82147901.

It is a junction number, because it is equal to n+sod(n) for n = 10974094 and 10974103.

It is not an unprimeable number, because it can be changed into a prime (10974121) 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 7 ways as a sum of consecutive naturals, for example, 2693 + ... + 5403.

Almost surely, 2^10974128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106368).

10974128 is an abundant number, since it is smaller than the sum of its proper divisors (13238608).

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

10974128 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10974127) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2753).

10974128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 10974128 is about 3312.7221434947. The cubic root of 10974128 is about 222.2235121407.

It can be divided in two parts, 1097 and 4128, that added together give a palindrome (5225).

The spelling of 10974128 in words is "ten million, nine hundred seventy-four thousand, one hundred twenty-eight".