48467328 has 256 divisors, whose sum is σ = 169075200. Its totient is φ = 11943936.

The previous prime is 48467317. The next prime is 48467339. The reversal of 48467328 is 82376484.

It is an interprime number because it is at equal distance from previous prime (48467317) and next prime (48467339).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48467328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663900 + ... + 663972.

It is an arithmetic number, because the mean of its divisors is an integer number (660450).

Almost surely, 2^48467328 is an apocalyptic number.

48467328 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 48467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84537600).

48467328 is an abundant number, since it is smaller than the sum of its proper divisors (120607872).

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

48467328 is a wasteful number, since it uses less digits than its factorization.

48467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 48467328 is about 6961.8480305160. The cubic root of 48467328 is about 364.5997438912.

The spelling of 48467328 in words is "forty-eight million, four hundred sixty-seven thousand, three hundred twenty-eight".