628158240 has 240 divisors, whose sum is σ = 2334467520. Its totient is φ = 158630400.

The previous prime is 628158197. The next prime is 628158281. The reversal of 628158240 is 42851826.

628158240 is a `hidden beast` number, since 628 + 1 + 5 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 628158195 and 628158204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244965 + ... + 247515.

It is an arithmetic number, because the mean of its divisors is an integer number (9726948).

Almost surely, 2^628158240 is an apocalyptic number.

628158240 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 628158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167233760).

628158240 is an abundant number, since it is smaller than the sum of its proper divisors (1706309280).

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

628158240 is a wasteful number, since it uses less digits than its factorization.

628158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 628158240 is about 25063.0852051379. The cubic root of 628158240 is about 856.4256915484.

The spelling of 628158240 in words is "six hundred twenty-eight million, one hundred fifty-eight thousand, two hundred forty".