1428629400 has 240 divisors, whose sum is σ = 5413593240. Its totient is φ = 346291200.

The previous prime is 1428629393. The next prime is 1428629417. The reversal of 1428629400 is 49268241.

1428629400 is a `hidden beast` number, since 1 + 4 + 28 + 629 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174192 + ... + 182208.

Almost surely, 2^1428629400 is an apocalyptic number.

1428629400 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 1428629400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706796620).

1428629400 is an abundant number, since it is smaller than the sum of its proper divisors (3984963840).

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

1428629400 is a wasteful number, since it uses less digits than its factorization.

1428629400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1428629400 is about 37797.2141830585. The cubic root of 1428629400 is about 1126.2631146172.

The spelling of 1428629400 in words is "one billion, four hundred twenty-eight million, six hundred twenty-nine thousand, four hundred".