738147648 has 112 divisors (see below), whose sum is σ = 2329159680. Its totient is φ = 201721344.

The previous prime is 738147647. The next prime is 738147649. The reversal of 738147648 is 846741837.

It is an interprime number because it is at equal distance from previous prime (738147647) and next prime (738147649).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 738147597 and 738147606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738147647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18973 + ... + 42851.

Almost surely, 2^738147648 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 738147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164579840).

738147648 is an abundant number, since it is smaller than the sum of its proper divisors (1591012032).

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

738147648 is a wasteful number, since it uses less digits than its factorization.

738147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23924 (or 23914 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 738147648 is about 27168.8727775004. The cubic root of 738147648 is about 903.7488272876.

The spelling of 738147648 in words is "seven hundred thirty-eight million, one hundred forty-seven thousand, six hundred forty-eight".