47958336 has 84 divisors (see below), whose sum is σ = 138684000. Its totient is φ = 15844608.

The previous prime is 47958331. The next prime is 47958341. The reversal of 47958336 is 63385974.

It is an interprime number because it is at equal distance from previous prime (47958331) and next prime (47958341).

Its product of digits (544320) is a multiple of the sum of its prime factors (756).

It is a junction number, because it is equal to n+sod(n) for n = 47958291 and 47958300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47958331) 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, 79765 + ... + 80363.

It is an arithmetic number, because the mean of its divisors is an integer number (1651000).

Almost surely, 2^47958336 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 47958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342000).

47958336 is an abundant number, since it is smaller than the sum of its proper divisors (90725664).

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

47958336 is a wasteful number, since it uses less digits than its factorization.

47958336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 47958336 is about 6925.1957373059. The cubic root of 47958336 is about 363.3189374165.

It can be divided in two parts, 4795 and 8336, that added together give a palindrome (13131).

The spelling of 47958336 in words is "forty-seven million, nine hundred fifty-eight thousand, three hundred thirty-six".