48673920 has 128 divisors (see below), whose sum is σ = 157308480. Its totient is φ = 12800000.

The previous prime is 48673909. The next prime is 48673931. The reversal of 48673920 is 2937684.

It is an interprime number because it is at equal distance from previous prime (48673909) and next prime (48673931).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 193795 + ... + 194045.

Almost surely, 2^48673920 is an apocalyptic number.

48673920 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 48673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78654240).

48673920 is an abundant number, since it is smaller than the sum of its proper divisors (108634560).

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

48673920 is a wasteful number, since it uses less digits than its factorization.

48673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 48673920 is about 6976.6696926256. The cubic root of 48673920 is about 365.1170450926.

The spelling of 48673920 in words is "forty-eight million, six hundred seventy-three thousand, nine hundred twenty".