1538224128 has 208 divisors, whose sum is σ = 5210786560. Its totient is φ = 439271424.

The previous prime is 1538224109. The next prime is 1538224147. The reversal of 1538224128 is 8214228351.

It is a happy number.

1538224128 is a `hidden beast` number, since 15 + 382 + 241 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1538224109) and next prime (1538224147).

It is a super-2 number, since 2×1538224128² = 4732266935922720768, which contains 22 as substring.

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 = 1538224092 and 1538224101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773151 + ... + 775137.

Almost surely, 2^1538224128 is an apocalyptic number.

1538224128 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 1538224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605393280).

1538224128 is an abundant number, since it is smaller than the sum of its proper divisors (3672562432).

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

1538224128 is an equidigital number, since it uses as much as digits as its factorization.

1538224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 1999 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1538224128 is about 39220.2005094314. The cubic root of 1538224128 is about 1154.3562882987.

The spelling of 1538224128 in words is "one billion, five hundred thirty-eight million, two hundred twenty-four thousand, one hundred twenty-eight".