47828640 has 48 divisors (see below), whose sum is σ = 150661728. Its totient is φ = 12754176.

The previous prime is 47828639. The next prime is 47828647. The reversal of 47828640 is 4682874.

47828640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (47828647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49342 + ... + 50301.

It is an arithmetic number, because the mean of its divisors is an integer number (3138786).

Almost surely, 2^47828640 is an apocalyptic number.

47828640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47828640 is an abundant number, since it is smaller than the sum of its proper divisors (102833088).

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

47828640 is a wasteful number, since it uses less digits than its factorization.

47828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99661 (or 99653 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 47828640 is about 6915.8253303565. The cubic root of 47828640 is about 362.9911281973.

The spelling of 47828640 in words is "forty-seven million, eight hundred twenty-eight thousand, six hundred forty".