428978659240000 has 315 divisors, whose sum is σ = 1101981349355601. Its totient is φ = 165628122240000.

The previous prime is 428978659239983. The next prime is 428978659240057. The reversal of 428978659240000 is 42956879824.

It is a happy number.

The square root of 428978659240000 is 20711800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 320844616082496 + 108134043157504 = 17912136^2 + 10398752^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120128438215 + ... + 120128441785.

Almost surely, 2^{428978659240000} is an apocalyptic number.

428978659240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

428978659240000 is the 20711800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428978659240000

428978659240000 is an abundant number, since it is smaller than the sum of its proper divisors (673002690115601).

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

428978659240000 is an frugal number, since it uses more digits than its factorization.

428978659240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7232 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

428978659240000 divided by its sum of digits (64) gives a square (6702791550625 = 2588975²).

The spelling of 428978659240000 in words is "four hundred twenty-eight trillion, nine hundred seventy-eight billion, six hundred fifty-nine million, two hundred forty thousand".