46720128 has 192 divisors, whose sum is σ = 156280320. Its totient is φ = 12257280.

The previous prime is 46720127. The next prime is 46720171. The reversal of 46720128 is 82102764.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 46720095 and 46720104.

It is not an unprimeable number, because it can be changed into a prime (46720127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244513 + ... + 244703.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 2^46720128 is an apocalyptic number.

46720128 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 46720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

46720128 is an abundant number, since it is smaller than the sum of its proper divisors (109560192).

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

46720128 is a wasteful number, since it uses less digits than its factorization.

46720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 46720128 is about 6835.2123595394. The cubic root of 46720128 is about 360.1648627608.

The spelling of 46720128 in words is "forty-six million, seven hundred twenty thousand, one hundred twenty-eight".