628516454400 has 720 divisors, whose sum is σ = 2391390671670. Its totient is φ = 163074539520.

The previous prime is 628516454389. The next prime is 628516454417. The reversal of 628516454400 is 4454615826.

It is a happy number.

628516454400 is a `hidden beast` number, since 6 + 2 + 85 + 164 + 5 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 571100626944 + 57415827456 = 755712^2 + 239616^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16986931182 + ... + 16986931218.

Almost surely, 2^628516454400 is an apocalyptic number.

628516454400 is a gapful number since it is divisible by the number (60) 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 628516454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195695335835).

628516454400 is an abundant number, since it is smaller than the sum of its proper divisors (1762874217270).

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

628516454400 is an frugal number, since it uses more digits than its factorization.

628516454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 628516454400 in words is "six hundred twenty-eight billion, five hundred sixteen million, four hundred fifty-four thousand, four hundred".