46728100 has 36 divisors (see below), whose sum is σ = 103767664. Its totient is φ = 18254880.

The previous prime is 46728079. The next prime is 46728109. The reversal of 46728100 is 182764.

It is a super-2 number, since 2×46728100² = 4367030659220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46728109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134 + ... + 9733.

Almost surely, 2^46728100 is an apocalyptic number.

It is an amenable number.

46728100 is an abundant number, since it is smaller than the sum of its proper divisors (57039564).

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

46728100 is a wasteful number, since it uses less digits than its factorization.

46728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 46728100 is about 6835.7954913821. The cubic root of 46728100 is about 360.1853469441.

The spelling of 46728100 in words is "forty-six million, seven hundred twenty-eight thousand, one hundred".