46128768 has 96 divisors (see below), whose sum is σ = 141110880. Its totient is φ = 13079040.

The previous prime is 46128757. The next prime is 46128779. The reversal of 46128768 is 86782164.

It is an interprime number because it is at equal distance from previous prime (46128757) and next prime (46128779).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352063 + ... + 352193.

It is an arithmetic number, because the mean of its divisors is an integer number (1469905).

Almost surely, 2^46128768 is an apocalyptic number.

46128768 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 46128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70555440).

46128768 is an abundant number, since it is smaller than the sum of its proper divisors (94982112).

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

46128768 is an equidigital number, since it uses as much as digits as its factorization.

46128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 46128768 is about 6791.8162519314. The cubic root of 46128768 is about 358.6388103338.

Multiplying 46128768 by its sum of digits (42), we get a square (1937408256 = 44016²).

46128768 divided by its sum of digits (42) gives a square (1098304 = 1048²).

It can be divided in two parts, 46128 and 768, that multiplied together give a square (35426304 = 5952²).

The spelling of 46128768 in words is "forty-six million, one hundred twenty-eight thousand, seven hundred sixty-eight".