1481238528 has 384 divisors, whose sum is σ = 5132574720. Its totient is φ = 368640000.

The previous prime is 1481238527. The next prime is 1481238623. The reversal of 1481238528 is 8258321841.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1481238528.

It is not an unprimeable number, because it can be changed into a prime (1481238527) 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, 14665678 + ... + 14665778.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 2^1481238528 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 1481238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566287360).

1481238528 is an abundant number, since it is smaller than the sum of its proper divisors (3651336192).

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

1481238528 is a wasteful number, since it uses less digits than its factorization.

1481238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 1481238528 is about 38486.8617582676. The cubic root of 1481238528 is about 1139.9216443529.

It can be divided in two parts, 148123 and 8528, that added together give a palindrome (156651).

The spelling of 1481238528 in words is "one billion, four hundred eighty-one million, two hundred thirty-eight thousand, five hundred twenty-eight".