428980992 has 288 divisors, whose sum is σ = 1377492480. Its totient is φ = 116981760.

The previous prime is 428980969. The next prime is 428981023. The reversal of 428980992 is 299089824.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4164813 + ... + 4164915.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^428980992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

428980992 is an abundant number, since it is smaller than the sum of its proper divisors (948511488).

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

428980992 is a wasteful number, since it uses less digits than its factorization.

428980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 428980992 is about 20711.8563146812. The cubic root of 428980992 is about 754.1875341187.

The spelling of 428980992 in words is "four hundred twenty-eight million, nine hundred eighty thousand, nine hundred ninety-two".