628146480 has 80 divisors (see below), whose sum is σ = 2097053280. Its totient is φ = 154619904.

The previous prime is 628146461. The next prime is 628146499. The reversal of 628146480 is 84641826.

It is an interprime number because it is at equal distance from previous prime (628146461) and next prime (628146499).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97545 + ... + 103784.

It is an arithmetic number, because the mean of its divisors is an integer number (26213166).

Almost surely, 2^628146480 is an apocalyptic number.

628146480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628146480 is an abundant number, since it is smaller than the sum of its proper divisors (1468906800).

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

628146480 is a wasteful number, since it uses less digits than its factorization.

628146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201358 (or 201352 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 628146480 is about 25062.8505960515. The cubic root of 628146480 is about 856.4203470198.

The spelling of 628146480 in words is "six hundred twenty-eight million, one hundred forty-six thousand, four hundred eighty".