48529152 has 288 divisors, whose sum is σ = 176601600. Its totient is φ = 12828672.

The previous prime is 48529127. The next prime is 48529157. The reversal of 48529152 is 25192584.

48529152 is a `hidden beast` number, since 485 + 29 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48529157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822499 + ... + 822557.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^48529152 is an apocalyptic number.

48529152 is a gapful number since it is divisible by the number (42) 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 48529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

48529152 is an abundant number, since it is smaller than the sum of its proper divisors (128072448).

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

48529152 is a wasteful number, since it uses less digits than its factorization.

48529152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 48529152 is about 6966.2868158008. The cubic root of 48529152 is about 364.7547035171.

The spelling of 48529152 in words is "forty-eight million, five hundred twenty-nine thousand, one hundred fifty-two".