46628100 has 108 divisors (see below), whose sum is σ = 147865536. Its totient is φ = 12288960.

The previous prime is 46628077. The next prime is 46628117. The reversal of 46628100 is 182664.

46628100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46628100² = 4348359419220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92449 + ... + 92951.

Almost surely, 2^46628100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73932768).

46628100 is an abundant number, since it is smaller than the sum of its proper divisors (101237436).

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

46628100 is a wasteful number, since it uses less digits than its factorization.

46628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46628100 is about 6828.4771362288. The cubic root of 46628100 is about 359.9282264321.

The spelling of 46628100 in words is "forty-six million, six hundred twenty-eight thousand, one hundred".