46921728 has 96 divisors (see below), whose sum is σ = 143095680. Its totient is φ = 13393920.

The previous prime is 46921723. The next prime is 46921733. The reversal of 46921728 is 82712964.

It is an interprime number because it is at equal distance from previous prime (46921723) and next prime (46921733).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46921723) 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 7 ways as a sum of consecutive naturals, for example, 42463 + ... + 43553.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^46921728 is an apocalyptic number.

46921728 is a gapful number since it is divisible by the number (48) 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 46921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

46921728 is an abundant number, since it is smaller than the sum of its proper divisors (96173952).

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

46921728 is a wasteful number, since it uses less digits than its factorization.

46921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1103 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 46921728 is about 6849.9436494033. The cubic root of 46921728 is about 360.6821633436.

The spelling of 46921728 in words is "forty-six million, nine hundred twenty-one thousand, seven hundred twenty-eight".