10477328 has 40 divisors (see below), whose sum is σ = 21534336. Its totient is φ = 4928000.

The previous prime is 10477319. The next prime is 10477343. The reversal of 10477328 is 82377401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10477294 and 10477303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25928 + ... + 26328.

Almost surely, 2^10477328 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 10477328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767168).

10477328 is an abundant number, since it is smaller than the sum of its proper divisors (11057008).

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

10477328 is a wasteful number, since it uses less digits than its factorization.

10477328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 10477328 is about 3236.8700931610. The cubic root of 10477328 is about 218.8182363450.

The spelling of 10477328 in words is "ten million, four hundred seventy-seven thousand, three hundred twenty-eight".