46052362728 has 192 divisors, whose sum is σ = 133824337920. Its totient is φ = 14821444800.

The previous prime is 46052362723. The next prime is 46052362747. The reversal of 46052362728 is 82726325064.

46052362728 is a `hidden beast` number, since 4 + 60 + 523 + 62 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×46052362728² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46052362723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47427283 + ... + 47428253.

It is an arithmetic number, because the mean of its divisors is an integer number (697001760).

Almost surely, 2^46052362728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46052362728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66912168960).

46052362728 is an abundant number, since it is smaller than the sum of its proper divisors (87771975192).

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

46052362728 is a wasteful number, since it uses less digits than its factorization.

46052362728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 46052362728 in words is "forty-six billion, fifty-two million, three hundred sixty-two thousand, seven hundred twenty-eight".