1388628000 has 288 divisors, whose sum is σ = 5220437040. Its totient is φ = 348364800.

The previous prime is 1388627987. The next prime is 1388628023. The reversal of 1388628000 is 8268831.

It can be written as a sum of positive squares in 8 ways, for example, as 2108304 + 1386519696 = 1452^2 + 37236^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 610866 + ... + 613134.

Almost surely, 2^1388628000 is an apocalyptic number.

1388628000 is a gapful number since it is divisible by the number (10) 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 1388628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610218520).

1388628000 is an abundant number, since it is smaller than the sum of its proper divisors (3831809040).

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

1388628000 is a wasteful number, since it uses less digits than its factorization.

1388628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1388628000 is about 37264.2992688713. The cubic root of 1388628000 is about 1115.6517200483.

The spelling of 1388628000 in words is "one billion, three hundred eighty-eight million, six hundred twenty-eight thousand".