941488128 has 144 divisors (see below), whose sum is σ = 3108072240. Its totient is φ = 268959744.

The previous prime is 941488127. The next prime is 941488129. The reversal of 941488128 is 821884149.

941488128 is a `hidden beast` number, since 9 + 41 + 488 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (941488127) and next prime (941488129).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941488127) 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, 125376 + ... + 132672.

It is an arithmetic number, because the mean of its divisors is an integer number (21583835).

Almost surely, 2^941488128 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 941488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554036120).

941488128 is an abundant number, since it is smaller than the sum of its proper divisors (2166584112).

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

941488128 is a wasteful number, since it uses less digits than its factorization.

941488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332 (or 7309 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 941488128 is about 30683.6785278428. The cubic root of 941488128 is about 980.1027686202.

The spelling of 941488128 in words is "nine hundred forty-one million, four hundred eighty-eight thousand, one hundred twenty-eight".