428129280 has 352 divisors, whose sum is σ = 1611398400. Its totient is φ = 107495424.

The previous prime is 428129239. The next prime is 428129287. The reversal of 428129280 is 82921824.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428129287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626479 + ... + 2626641.

Almost surely, 2^428129280 is an apocalyptic number.

428129280 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 428129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805699200).

428129280 is an abundant number, since it is smaller than the sum of its proper divisors (1183269120).

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

428129280 is a wasteful number, since it uses less digits than its factorization.

428129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 428129280 is about 20691.2851220025. The cubic root of 428129280 is about 753.6880744155.

The spelling of 428129280 in words is "four hundred twenty-eight million, one hundred twenty-nine thousand, two hundred eighty".