46828600 has 192 divisors, whose sum is σ = 139991040. Its totient is φ = 14169600.

The previous prime is 46828567. The next prime is 46828603. The reversal of 46828600 is 682864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46828603) 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 47 ways as a sum of consecutive naturals, for example, 564159 + ... + 564241.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^46828600 is an apocalyptic number.

46828600 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 46828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

46828600 is an abundant number, since it is smaller than the sum of its proper divisors (93162440).

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

46828600 is a wasteful number, since it uses less digits than its factorization.

46828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 46828600 is about 6843.1425529504. The cubic root of 46828600 is about 360.4433837360.

The spelling of 46828600 in words is "forty-six million, eight hundred twenty-eight thousand, six hundred".