628190150400 has 648 divisors, whose sum is σ = 2335972154880. Its totient is φ = 160883712000.

The previous prime is 628190150381. The next prime is 628190150417. The reversal of 628190150400 is 4051091826.

628190150400 is a `hidden beast` number, since 62 + 8 + 1 + 90 + 1 + 504 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248197135 + ... + 248199665.

Almost surely, 2^628190150400 is an apocalyptic number.

628190150400 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 628190150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167986077440).

628190150400 is an abundant number, since it is smaller than the sum of its proper divisors (1707782004480).

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

628190150400 is a wasteful number, since it uses less digits than its factorization.

628190150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 628190150400 in words is "six hundred twenty-eight billion, one hundred ninety million, one hundred fifty thousand, four hundred".