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10928896 = 28113881
BaseRepresentation
bin101001101100…
…001100000000
3202120020121221
4221230030000
510244211041
61030124424
7161615446
oct51541400
922506557
1010928896
116195050
1237b0714
132358604
141646b96
15e5d2d1
hexa6c300

10928896 has 36 divisors (see below), whose sum is σ = 23804424. Its totient is φ = 4966400.

The previous prime is 10928861. The next prime is 10928899. The reversal of 10928896 is 69882901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 876 + ... + 4756.

It is an arithmetic number, because the mean of its divisors is an integer number (661234).

Almost surely, 210928896 is an apocalyptic number.

10928896 is a gapful number since it is divisible by the number (16) 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 10928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902212).

10928896 is an abundant number, since it is smaller than the sum of its proper divisors (12875528).

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

10928896 is an equidigital number, since it uses as much as digits as its factorization.

10928896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 10928896 is about 3305.8880803802. Note that the first 3 decimals coincide. The cubic root of 10928896 is about 221.9177792538.

The spelling of 10928896 in words is "ten million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3881 7762 15524 31048 42691 62096 85382 124192 170764 248384 341528 496768 683056 993536 1366112 2732224 5464448 10928896