47292768 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 15603840.

The previous prime is 47292683. The next prime is 47292769. The reversal of 47292768 is 86729274.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47292769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109513 + ... + 109943.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^47292768 is an apocalyptic number.

47292768 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 47292768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

47292768 is an abundant number, since it is smaller than the sum of its proper divisors (92053152).

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

47292768 is a wasteful number, since it uses less digits than its factorization.

47292768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 563 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 47292768 is about 6876.9737530399. The cubic root of 47292768 is about 361.6303828857.

The spelling of 47292768 in words is "forty-seven million, two hundred ninety-two thousand, seven hundred sixty-eight".