48129444 has 144 divisors (see below), whose sum is σ = 143001600. Its totient is φ = 13970880.

The previous prime is 48129443. The next prime is 48129463. The reversal of 48129444 is 44492184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48129399 and 48129408.

It is not an unprimeable number, because it can be changed into a prime (48129443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378909 + ... + 379035.

Almost surely, 2^48129444 is an apocalyptic number.

48129444 is a gapful number since it is divisible by the number (44) 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 48129444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71500800).

48129444 is an abundant number, since it is smaller than the sum of its proper divisors (94872156).

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

48129444 is a wasteful number, since it uses less digits than its factorization.

48129444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48129444 is about 6937.5387566485. The cubic root of 48129444 is about 363.7505133376.

The spelling of 48129444 in words is "forty-eight million, one hundred twenty-nine thousand, four hundred forty-four".