46142928 has 90 divisors (see below), whose sum is σ = 139961094. Its totient is φ = 14107392.

The previous prime is 46142927. The next prime is 46142951. The reversal of 46142928 is 82924164.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 46131264 = 108^2 + 6792^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46142892 and 46142901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46142927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 293826 + ... + 293982.

Almost surely, 2^46142928 is an apocalyptic number.

46142928 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 46142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69980547).

46142928 is an abundant number, since it is smaller than the sum of its proper divisors (93818166).

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

46142928 is a wasteful number, since it uses less digits than its factorization.

46142928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 175 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 46142928 is about 6792.8586029742. The cubic root of 46142928 is about 358.6755033147.

The spelling of 46142928 in words is "forty-six million, one hundred forty-two thousand, nine hundred twenty-eight".