47828880 has 300 divisors, whose sum is σ = 185584476. Its totient is φ = 11404800.

The previous prime is 47828861. The next prime is 47828887. The reversal of 47828880 is 8882874.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 40144896 = 2772^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47828887) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784050 + ... + 784110.

Almost surely, 2^47828880 is an apocalyptic number.

47828880 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 47828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92792238).

47828880 is an abundant number, since it is smaller than the sum of its proper divisors (137755596).

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

47828880 is a wasteful number, since it uses less digits than its factorization.

47828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 47828880 is about 6915.8426818429. The cubic root of 47828880 is about 362.9917353490.

The spelling of 47828880 in words is "forty-seven million, eight hundred twenty-eight thousand, eight hundred eighty".