428590800 has 360 divisors, whose sum is σ = 1655072640. Its totient is φ = 101836800.

The previous prime is 428590787. The next prime is 428590823. The reversal of 428590800 is 8095824.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 3128332 + ... + 3128468.

It is an arithmetic number, because the mean of its divisors is an integer number (4597424).

Almost surely, 2^428590800 is an apocalyptic number.

428590800 is a gapful number since it is divisible by the number (40) 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 428590800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827536320).

428590800 is an abundant number, since it is smaller than the sum of its proper divisors (1226481840).

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

428590800 is a wasteful number, since it uses less digits than its factorization.

428590800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 428590800 is about 20702.4346394331. The cubic root of 428590800 is about 753.9588004328.

The spelling of 428590800 in words is "four hundred twenty-eight million, five hundred ninety thousand, eight hundred".