1235628000 has 384 divisors, whose sum is σ = 4769331840. Its totient is φ = 309657600.

The previous prime is 1235627999. The next prime is 1235628013. The reversal of 1235628000 is 8265321.

1235628000 is a `hidden beast` number, since 1 + 2 + 35 + 628 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835664 + ... + 1836336.

It is an arithmetic number, because the mean of its divisors is an integer number (12420135).

Almost surely, 2^1235628000 is an apocalyptic number.

1235628000 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 1235628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384665920).

1235628000 is an abundant number, since it is smaller than the sum of its proper divisors (3533703840).

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

1235628000 is a wasteful number, since it uses less digits than its factorization.

1235628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1235628000 is about 35151.5006792029. The cubic root of 1235628000 is about 1073.0729492813.

The spelling of 1235628000 in words is "one billion, two hundred thirty-five million, six hundred twenty-eight thousand".