1239628896 has 288 divisors, whose sum is σ = 4047563520. Its totient is φ = 356428800.

The previous prime is 1239628889. The next prime is 1239628903. The reversal of 1239628896 is 6988269321.

1239628896 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 628 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1239628889) and next prime (1239628903).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9462751 + ... + 9462881.

It is an arithmetic number, because the mean of its divisors is an integer number (14054040).

Almost surely, 2^1239628896 is an apocalyptic number.

1239628896 is a gapful number since it is divisible by the number (16) 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 1239628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023781760).

1239628896 is an abundant number, since it is smaller than the sum of its proper divisors (2807934624).

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

1239628896 is a wasteful number, since it uses less digits than its factorization.

1239628896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1239628896 is about 35208.3640062983. The cubic root of 1239628896 is about 1074.2298853535.

The spelling of 1239628896 in words is "one billion, two hundred thirty-nine million, six hundred twenty-eight thousand, eight hundred ninety-six".