46828800 has 216 divisors, whose sum is σ = 172350080. Its totient is φ = 12441600.

The previous prime is 46828799. The next prime is 46828801. The reversal of 46828800 is 882864.

It is an interprime number because it is at equal distance from previous prime (46828799) and next prime (46828801).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46828801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172665 + ... + 172935.

Almost surely, 2^46828800 is an apocalyptic number.

46828800 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 46828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86175040).

46828800 is an abundant number, since it is smaller than the sum of its proper divisors (125521280).

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

46828800 is a wasteful number, since it uses less digits than its factorization.

46828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 46828800 is about 6843.1571661040. The cubic root of 46828800 is about 360.4438968738.

The spelling of 46828800 in words is "forty-six million, eight hundred twenty-eight thousand, eight hundred".