46828000 has 96 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 17881600.

The previous prime is 46827983. The next prime is 46828003. The reversal of 46828000 is 82864.

It is a self number, because there is not a number n which added to its sum of digits gives 46828000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46828003) by changing a digit.

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, 91746 + ... + 92254.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^46828000 is an apocalyptic number.

46828000 is a gapful number since it is divisible by the number (40) 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 46828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

46828000 is an abundant number, since it is smaller than the sum of its proper divisors (73466720).

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

46828000 is a wasteful number, since it uses less digits than its factorization.

46828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 46828000 is about 6843.0987133023. The cubic root of 46828000 is about 360.4418443139.

The spelling of 46828000 in words is "forty-six million, eight hundred twenty-eight thousand".