428181600 has 432 divisors, whose sum is σ = 1774011456. Its totient is φ = 88704000.

The previous prime is 428181583. The next prime is 428181629. The reversal of 428181600 is 6181824.

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

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, 1293435 + ... + 1293765.

It is an arithmetic number, because the mean of its divisors is an integer number (4106508).

Almost surely, 2^428181600 is an apocalyptic number.

428181600 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 428181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887005728).

428181600 is an abundant number, since it is smaller than the sum of its proper divisors (1345829856).

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

428181600 is a wasteful number, since it uses less digits than its factorization.

428181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 428181600 is about 20692.5493837758. The cubic root of 428181600 is about 753.7187749194.

The spelling of 428181600 in words is "four hundred twenty-eight million, one hundred eighty-one thousand, six hundred".