628106400 has 288 divisors, whose sum is σ = 2306102400. Its totient is φ = 167028480.

The previous prime is 628106393. The next prime is 628106411. The reversal of 628106400 is 4601826.

628106400 is a `hidden beast` number, since 6 + 2 + 8 + 10 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749421 + ... + 1749779.

It is an arithmetic number, because the mean of its divisors is an integer number (8007300).

Almost surely, 2^628106400 is an apocalyptic number.

628106400 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 628106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153051200).

628106400 is an abundant number, since it is smaller than the sum of its proper divisors (1677996000).

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

628106400 is an equidigital number, since it uses as much as digits as its factorization.

628106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 628106400 is about 25062.0509934842. The cubic root of 628106400 is about 856.4021314927.

The spelling of 628106400 in words is "six hundred twenty-eight million, one hundred six thousand, four hundred".