10402848 has 72 divisors (see below), whose sum is σ = 30339036. Its totient is φ = 3379200.

The previous prime is 10402837. The next prime is 10402859. The reversal of 10402848 is 84820401.

It is an interprime number because it is at equal distance from previous prime (10402837) and next prime (10402859).

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 2039184 = 2892^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10402848² = 216438493022208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 11368 + ... + 12248.

Almost surely, 2^10402848 is an apocalyptic number.

10402848 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 10402848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169518).

10402848 is an abundant number, since it is smaller than the sum of its proper divisors (19936188).

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

10402848 is a wasteful number, since it uses less digits than its factorization.

10402848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10402848 is about 3225.3446327486. The cubic root of 10402848 is about 218.2984997099.

The spelling of 10402848 in words is "ten million, four hundred two thousand, eight hundred forty-eight".