46693728 has 72 divisors (see below), whose sum is σ = 133621488. Its totient is φ = 15466752.

The previous prime is 46693727. The next prime is 46693733. The reversal of 46693728 is 82739664.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46693723) 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, 56325 + ... + 57147.

It is an arithmetic number, because the mean of its divisors is an integer number (1855854).

Almost surely, 2^46693728 is an apocalyptic number.

46693728 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 46693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66810744).

46693728 is an abundant number, since it is smaller than the sum of its proper divisors (86927760).

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

46693728 is a wasteful number, since it uses less digits than its factorization.

46693728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 46693728 is about 6833.2809103680. The cubic root of 46693728 is about 360.0970108927.

The spelling of 46693728 in words is "forty-six million, six hundred ninety-three thousand, seven hundred twenty-eight".