1048714128 has 480 divisors, whose sum is σ = 3951747072. Its totient is φ = 261273600.

The previous prime is 1048714123. The next prime is 1048714129. The reversal of 1048714128 is 8214178401.

1048714128 is a `hidden beast` number, since 10 + 487 + 141 + 28 = 666.

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 = 1048714092 and 1048714101.

It is not an unprimeable number, because it can be changed into a prime (1048714123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9280600 + ... + 9280712.

Almost surely, 2^1048714128 is an apocalyptic number.

1048714128 is a gapful number since it is divisible by the number (18) 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 1048714128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975873536).

1048714128 is an abundant number, since it is smaller than the sum of its proper divisors (2903032944).

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

1048714128 is a wasteful number, since it uses less digits than its factorization.

1048714128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1048714128 is about 32383.8559779406. The cubic root of 1048714128 is about 1015.9812807843.

The spelling of 1048714128 in words is "one billion, forty-eight million, seven hundred fourteen thousand, one hundred twenty-eight".