1228628352 has 384 divisors, whose sum is σ = 4219568640. Its totient is φ = 314130432.

The previous prime is 1228628347. The next prime is 1228628371. The reversal of 1228628352 is 2538268221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1228628352.

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, 7356973 + ... + 7357139.

It is an arithmetic number, because the mean of its divisors is an integer number (10988460).

Almost surely, 2^1228628352 is an apocalyptic number.

1228628352 is a gapful number since it is divisible by the number (12) 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 1228628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109784320).

1228628352 is an abundant number, since it is smaller than the sum of its proper divisors (2990940288).

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

1228628352 is a wasteful number, since it uses less digits than its factorization.

1228628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 1228628352 is about 35051.7952749927. The cubic root of 1228628352 is about 1071.0428450543.

The spelling of 1228628352 in words is "one billion, two hundred twenty-eight million, six hundred twenty-eight thousand, three hundred fifty-two".