10484928 has 84 divisors (see below), whose sum is σ = 30510480. Its totient is φ = 3442176.

The previous prime is 10484927. The next prime is 10484939. The reversal of 10484928 is 82948401.

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 = 10484892 and 10484901.

It is not an unprimeable number, because it can be changed into a prime (10484923) 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, 62701 + ... + 62867.

It is an arithmetic number, because the mean of its divisors is an integer number (363220).

Almost surely, 2^10484928 is an apocalyptic number.

10484928 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 10484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255240).

10484928 is an abundant number, since it is smaller than the sum of its proper divisors (20025552).

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

10484928 is a wasteful number, since it uses less digits than its factorization.

10484928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10484928 is about 3238.0438539340. The cubic root of 10484928 is about 218.8711320404.

The spelling of 10484928 in words is "ten million, four hundred eighty-four thousand, nine hundred twenty-eight".