7828948 has 12 divisors (see below), whose sum is σ = 13959540. Its totient is φ = 3840512.

The previous prime is 7828943. The next prime is 7828963. The reversal of 7828948 is 8498287.

It can be written as a sum of positive squares in 2 ways, for example, as 5673924 + 2155024 = 2382^2 + 1468^2 .

It is a super-2 number, since 2×7828948² = 122584853573408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7828898 and 7828907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828943) 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, 18253 + ... + 18676.

It is an arithmetic number, because the mean of its divisors is an integer number (1163295).

Almost surely, 2^7828948 is an apocalyptic number.

It is an amenable number.

7828948 is a deficient number, since it is larger than the sum of its proper divisors (6130592).

7828948 is a wasteful number, since it uses less digits than its factorization.

7828948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36986 (or 36984 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 7828948 is about 2798.0257325479. The cubic root of 7828948 is about 198.5642849397.

It can be divided in two parts, 782 and 8948, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 7828948 in words is "seven million, eight hundred twenty-eight thousand, nine hundred forty-eight".