47768280 has 256 divisors, whose sum is σ = 179020800. Its totient is φ = 9953280.

The previous prime is 47768267. The next prime is 47768293. The reversal of 47768280 is 8286774.

47768280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47768267) and next prime (47768293).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 654324 + ... + 654396.

It is an arithmetic number, because the mean of its divisors is an integer number (699300).

Almost surely, 2^47768280 is an apocalyptic number.

47768280 is a gapful number since it is divisible by the number (40) 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 47768280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89510400).

47768280 is an abundant number, since it is smaller than the sum of its proper divisors (131252520).

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

47768280 is a wasteful number, since it uses less digits than its factorization.

47768280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 47768280 is about 6911.4600483545. The cubic root of 47768280 is about 362.8383650002.

The spelling of 47768280 in words is "forty-seven million, seven hundred sixty-eight thousand, two hundred eighty".