1538051328 has 270 divisors, whose sum is σ = 5049243122. Its totient is φ = 465315840.

The previous prime is 1538051287. The next prime is 1538051363. The reversal of 1538051328 is 8231508351.

It can be written as a sum of positive squares in only one way, i.e., 812934144 + 725117184 = 28512^2 + 26928^2 .

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 = 1538051292 and 1538051301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2508750 + ... + 2509362.

Almost surely, 2^1538051328 is an apocalyptic number.

1538051328 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 1538051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524621561).

1538051328 is an abundant number, since it is smaller than the sum of its proper divisors (3511191794).

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

1538051328 is an equidigital number, since it uses as much as digits as its factorization.

1538051328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 629 counting only the distinct ones).

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

The square root of 1538051328 is about 39217.9975011474. The cubic root of 1538051328 is about 1154.3130609100.

Adding to 1538051328 its reverse (8231508351), we get a palindrome (9769559679).

The spelling of 1538051328 in words is "one billion, five hundred thirty-eight million, fifty-one thousand, three hundred twenty-eight".