10048628 has 12 divisors (see below), whose sum is σ = 17698212. Its totient is φ = 4992000.

The previous prime is 10048613. The next prime is 10048637. The reversal of 10048628 is 82684001.

It can be written as a sum of positive squares in 2 ways, for example, as 5895184 + 4153444 = 2428^2 + 2038^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10048628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7373 + ... + 8628.

It is an arithmetic number, because the mean of its divisors is an integer number (1474851).

Almost surely, 2^10048628 is an apocalyptic number.

It is an amenable number.

10048628 is a deficient number, since it is larger than the sum of its proper divisors (7649584).

10048628 is a wasteful number, since it uses less digits than its factorization.

10048628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16162 (or 16160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10048628 is about 3169.9570975015. The cubic root of 10048628 is about 215.7921239663.

It can be divided in two parts, 10048 and 628, that multiplied together give a square (6310144 = 2512²).

The spelling of 10048628 in words is "ten million, forty-eight thousand, six hundred twenty-eight".