46828848 has 80 divisors (see below), whose sum is σ = 136276992. Its totient is φ = 13728000.

The previous prime is 46828811. The next prime is 46828877. The reversal of 46828848 is 84882864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46828797 and 46828806.

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 15 ways as a sum of consecutive naturals, for example, 14938 + ... + 17798.

Almost surely, 2^46828848 is an apocalyptic number.

46828848 is a gapful number since it is divisible by the number (48) 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 46828848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68138496).

46828848 is an abundant number, since it is smaller than the sum of its proper divisors (89448144).

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

46828848 is a wasteful number, since it uses less digits than its factorization.

46828848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 46828848 is about 6843.1606732562. The cubic root of 46828848 is about 360.4440200267. Note that the first 3 decimals are identical.

It can be divided in two parts, 4682 and 8848, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 46828848 in words is "forty-six million, eight hundred twenty-eight thousand, eight hundred forty-eight".