428282400 has 576 divisors, whose sum is σ = 1795385088. Its totient is φ = 86261760.

The previous prime is 428282399. The next prime is 428282417. The reversal of 428282400 is 4282824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8080774 + ... + 8080826.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^428282400 is an apocalyptic number.

428282400 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 428282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897692544).

428282400 is an abundant number, since it is smaller than the sum of its proper divisors (1367102688).

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

428282400 is a wasteful number, since it uses less digits than its factorization.

428282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 428282400 is about 20694.9848997287. The cubic root of 428282400 is about 753.7779156293. Note that the first 3 decimals are identical.

428282400 divided by its reverse (4282824) gives a square (100 = 10²).

The spelling of 428282400 in words is "four hundred twenty-eight million, two hundred eighty-two thousand, four hundred".