1428920460 has 288 divisors, whose sum is σ = 5148057600. Its totient is φ = 327888000.

The previous prime is 1428920459. The next prime is 1428920473. The reversal of 1428920460 is 640298241.

It is a super-2 number, since 2×1428920460² = 4083627362013223200, which contains 22 as substring.

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

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, 1240885 + ... + 1242035.

It is an arithmetic number, because the mean of its divisors is an integer number (17875200).

Almost surely, 2^1428920460 is an apocalyptic number.

1428920460 is a gapful number since it is divisible by the number (10) 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 1428920460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574028800).

1428920460 is an abundant number, since it is smaller than the sum of its proper divisors (3719137140).

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

1428920460 is a wasteful number, since it uses less digits than its factorization.

1428920460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1428920460 is about 37801.0642707318. The cubic root of 1428920460 is about 1126.3395953529.

The spelling of 1428920460 in words is "one billion, four hundred twenty-eight million, nine hundred twenty thousand, four hundred sixty".