46405728 has 72 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 15385344.

The previous prime is 46405721. The next prime is 46405739. The reversal of 46405728 is 82750464.

46405728 is a `hidden beast` number, since 4 + 640 + 5 + 7 + 2 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46405692 and 46405701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46405721) 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, 77173 + ... + 77771.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^46405728 is an apocalyptic number.

46405728 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 46405728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

46405728 is an abundant number, since it is smaller than the sum of its proper divisors (86272272).

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

46405728 is a wasteful number, since it uses less digits than its factorization.

46405728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 46405728 is about 6812.1749830726. The cubic root of 46405728 is about 359.3551418693.

The spelling of 46405728 in words is "forty-six million, four hundred five thousand, seven hundred twenty-eight".