48769152 has 64 divisors (see below), whose sum is σ = 131090400. Its totient is φ = 16062464.

The previous prime is 48769121. The next prime is 48769157. The reversal of 48769152 is 25196784.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (48769157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33463 + ... + 34889.

Almost surely, 2^48769152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65545200).

48769152 is an abundant number, since it is smaller than the sum of its proper divisors (82321248).

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

48769152 is a wasteful number, since it uses less digits than its factorization.

48769152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1521 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 48769152 is about 6983.4913904150. The cubic root of 48769152 is about 365.3550108200.

It can be divided in two parts, 4876 and 9152, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 48769152 in words is "forty-eight million, seven hundred sixty-nine thousand, one hundred fifty-two".